Edit Profile (opens in new tab) Il’in, Vladimir Aleksandrovich Compute Distance To: Compute Author ID: ilin.v-a Published as: Il’in, V. A.; Il’ine, Vladimir; Il’in, Vladimir; Il’ine, V. A.; Il’in, V. A more...less External Links: MGP · Wikidata · Math-Net.Ru · IdRef Documents Indexed: 360 Publications since 1950, including 14 Books 2 Contributions as Editor Biographic References: 8 Publications Co-Authors: 229 Co-Authors with 217 Joint Publications 6,194 Co-Co-Authors all top 5 Co-Authors 143 single-authored 62 Moiseev, Evgeniĭ Ivanovich 22 Izobov, Nikolaĭ Alekseevich 21 Samarskiĭ, Aleksandr Andreevich 20 Emel’yanov, Stanislav Vasil’evich 20 Gaĭshun, Ivan Vasil’evich 19 Alimov, Shavkat Arifdzhanovich 17 Sadovnichiĭ, Viktor Antonovich 14 Rozov, Nikolaĭ Khristovich 14 Sveshnikov, Alekseĭ Georgievich 13 Shemyakina, Tamara Kuz’minichna 12 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 12 Tikhonov, Andreĭ Nikolaevich 11 Korovin, Sergeĭ Konstantinovich 11 Osipov, Yuriĭ Sergeevich 10 Bitsadze, Andreĭ Vasil’evich 10 Kozlov, Valeriĭ Vasil’evich 10 Kudryavtsev, Lev Dmitrievich 10 Mishchenko, Evgeniĭ Frolovich 10 Poznyak, Èduard Genrikhovich 10 Shishmarev, Ilya Andreevich 9 Krasovskiĭ, Nikolaĭ Nikolaevich 9 Kurzhanskiĭ, Aleksandr Borisovich 8 Jo, Ishtvan 8 Kuleshov, Aleksandr Andreevich 8 Millionshchikov, Vladimir Mikhaĭlovich 8 Samoĭlenko, Anatoliĭ Mykhaĭlovych 8 Vladimirov, Vasiliĭ Sergeevich 7 Arsen’ev, Alekseĭ Alekseevich 7 6 Anosov, Dmitriĭ Viktorovich 6 Besov, Oleg Vladimirovich 6 Kiguradze, Ivan Tarielovich 6 Marchuk, Guriĭ Ivanovich 6 Martynyuk, Anatoliĭ Andriĭovych 5 Erugin, Nikolaĭ Pavlovich 5 Kondrat’ev, Vladimir Aleksandrovich 5 Kritskov, Leonid V. 5 Pliss, Viktor Aleksandrovich 4 Abrashin, Vyacheslav Nikolaevich 4 Chernous’ko, Feliks Leonidovich 4 Dezin, Alekseĭ Alekseevich 4 Gonchar, Andreĭ Aleksandrovich 4 Gulin, Alexei V. 4 Kostomarov, Dmitrii Pavlovich 4 Kurdyumov, Sergeĭ Pavlovich 4 Maslov, Viktor Pavlovich 4 Nikishin, Evgenii Mikhailovich 4 Ovsyannikov, Lev Vasil’evich 4 Tikhomirov, V. V. 3 Antoniou, Ioannis E. 3 Arutyunov, Aram Vladimirovic 3 Bakhvalov, Nikolaĭ Sergeevich 3 Belotserkovskiĭ, Oleg Mikhaĭlovich 3 Bibikov, Yuriĭ Nikolaevich 3 Denisov, Alexander Mikhailovich 3 Filippov, Vladimir Mikhaĭlovich 3 Gamkrelidze, Revaz Valerianovich 3 Gushchin, Anatoliĭ Konstantinovich 3 Il’in, Arlen Mikhaĭlovich 3 Luferenko, P. V. 3 Mal’kov, K. V. 3 Mikhajlov, Valentin Petrovich 3 Mitidieri, Enzo Luigi 3 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 3 Oleĭnik, Ol’ga Arsen’evna 3 Pal’tsev, B. V. 3 Pokhozhaev, Stanislav I. 3 Popov, Yurii P. 3 Prokhorov, Yuriĭ Vasil’evich 3 Tesei, Alberto 3 Véron, Laurent 3 Volkov, Evgeniĭ Alekseevich 3 Volovich, Igor’ Vasil’evich 2 Aleksandryan, Rafael’ Aramovich 2 Amel’kin, Vladimir Vasilievich 2 Andreev, Alekseĭ Fedorovich 2 Astashova, Irina Viktorovna 2 Berezans’kyĭ, Yuriĭ Makarovych 2 Bochkarëv, Sergeĭ Viktorovich 2 Boĭchuk, Oleksandr Andriĭovych 2 Bol’shev, Login Nikolaevich 2 Chetverushkin, Boris Nikolaevich 2 Drozhzhinov, Yuriĭ Nikolaevich 2 Faddeev, Lyudvig Dmitrievich 2 Filinovskiĭ, Alexeĭ Vladislavovich 2 Gromak, Valeriĭ Ivanovich 2 Joó, István 2 Kashin, Boris Sergeevich 2 Kirpichnikov, M. P. 2 Korolyuk, Volodymyr Semenovych 2 Koshlyakov, Vladimir Nikolaevich 2 Kostyuchenko, Anatolii Gordeevich 2 Krukovskii, N. M. 2 Lomov, Igor’ Sergeevich 2 Matrosov, Vladimir Mefod’evich 2 Mojseev, E. I. 2 Paton, Borys Yevgenovych 2 Perestyuk, Mykola Oleksiĭovych 2 Romanko, V. K. 2 Sendov, Blagovest Khristov ...and 131 more Co-Authors all top 5 Serials 65 Differential Equations 52 Differential Equations 36 Differentsial’nye Uravneniya 36 Soviet Mathematics. Doklady 36 Doklady Mathematics 21 Russian Mathematical Surveys 9 Doklady Akademii Nauk SSSR 9 Proceedings of the Steklov Institute of Mathematics 8 Uspekhi Matematicheskikh Nauk [N. S.] 7 Mathematical Notes 5 Matematicheskie Zametki 4 Automation and Remote Control 4 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 4 Sorosovskiĭ Obrazovatel’nyĭ Zhurnal 4 Doklady Akademii Nauk SSSR. Novaya Seriya 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Sibirskiĭ Matematicheskiĭ Zhurnal 3 Matematicheskoe Modelirovanie 2 Computers & Mathematics with Applications 2 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 2 Soviet Physics. Doklady 2 Vestnik Moskovskogo Universiteta. Seriya 15 2 Doklady Akademii Nauk 2 Journal of Applied Mechanics and Technical Physics 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematica Slovaca 1 Moscow University Computational Mathematics and Cybernetics 1 Computational Mathematics and Modeling 1 Russian Academy of Sciences. Doklady. Mathematics 1 Journal of Mathematical Sciences (New York) 1 Integral Transforms and Special Functions 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Translations. Series 2. American Mathematical Society 1 Advances in Mathematical Physics all top 5 Fields 122 Partial differential equations (35-XX) 86 History and biography (01-XX) 49 Operator theory (47-XX) 45 Ordinary differential equations (34-XX) 39 Mechanics of deformable solids (74-XX) 35 Harmonic analysis on Euclidean spaces (42-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 25 Systems theory; control (93-XX) 9 Numerical analysis (65-XX) 7 Mechanics of particles and systems (70-XX) 6 Functional analysis (46-XX) 5 General and overarching topics; collections (00-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Geometry (51-XX) 3 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Fluid mechanics (76-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 119 Publications have been cited 900 times in 607 Documents Cited by ▼ Year ▼ Nonlocal boundary-value problem of the second kind for a Sturm-Liouville operator. Zbl 0668.34024Il’in, V. A.; Moiseev, E. I. 227 1987 Nonlocal boundary-value problem of the first kind for a Sturm-Liouville operator in its differential and finite-difference aspects. Zbl 0668.34025Il’in, V. A.; Mojseev, E. I. 150 1987 Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation. Zbl 1005.93023Il’in, V. A. 29 2000 The solvability of mixed problems for hyperbolic and parabolic equations. Zbl 0116.29802Il’in, V. A. 29 1960 Optimization of boundary controls of string vibrations. Zbl 1145.35338Il’in, V. A.; Moiseev, E. I. 27 2005 Properties of spectral expansions corresponding to non-self-adjoint differential operators. Zbl 1066.47044Il’in, V. A.; Kritskov, L. V. 25 2003 Boundary control of oscillations at one endpoint with the other endpoint fixed in terms of a finite-energy generalized solution of the wave equation. Zbl 0989.35027Il’in, V. A. 21 2000 Convergence problems of multiple trigonometric series and spectral decompositions. I. Zbl 0367.42008Alimov, Sh. A.; Il’in, V. A.; Nikishin, E. M. 20 1976 Spectral theory of differential operators. Selfadjoint differential operators. (Spektral’naya teoriya differentsial’nykh operatorov. Samosopryazhennye differentsial’nye operatory.) Zbl 0759.47026Il’in, V. A. 15 1991 Two-dimensional nonlocal boundary value problem for Poisson operator in differential and difference treatments. Zbl 0993.35500Il’in, V. A.; Moiseev, E. I. 13 1990 Nonlocal boundary value problem of the first kind for the Sturm-Liouville operator in the differential and difference treatments. Zbl 0636.34019Il’in, V. A.; Moiseev, E. I. 13 1987 Conditions for the convergence of expansions corresponding to self- adjoint extensions of elliptic operators. I: A self-adjoint extension of the Laplace operator with a point spectrum. Zbl 0224.35014Il’in, V. A.; Alimov, Sh. A. 13 1971 Minimization of the \(L_{p}\)-norm with arbitrary \(p \geq 1\) of the derivative of a boundary displacement control on an arbitrary sufficiently large time interval t. Zbl 1131.49028Il’in, V. A.; Moiseev, E. I. 11 2006 Optimization of a boundary control by a displacement at one end of a string based on minimization of the integral of the modulus of the derivative of the displacement raised to an arbitrary power \(p \geq 1\). Zbl 1204.49017Il’in, V. A.; Moiseev, E. I. 9 2006 The wave equation with a boundary control at both endpoints and the complete vibration damping problem. Zbl 0977.35024Il’in, V. A.; Tikhomirov, V. V. 9 1999 An a priori estimate of the solution of a problem associated to a nonlocal boundary value problem of first kind. Zbl 0641.34016Il’in, V. A.; Moiseev, E. I. 9 1988 Uniqueness of generalized solutions of mixed problems for the wave equation with nonlocal boundary conditions. Zbl 1194.35229Il’in, V. A. 9 2008 The generalized treatment of the principle of localization for Fourier series in fundamental systems of functions. Zbl 0191.07503Il’in, V. A. 8 1968 Mixed problems describing longitudinal oscillations of a rod consisting of two segments with different densities and different elasticities but equal impedances. Zbl 1423.74485Il’in, V. A.; Luferenko, P. V. 8 2009 Optimization of the boundary control of string vibrations by an elastic force on an arbitrary sufficiently large time interval. Zbl 1132.49032Il’in, V. A.; Moiseev, E. I. 8 2006 Uniqueness of the solution of a mixed problem for the wave equation with nonlocal boundary conditions. Zbl 1194.35228Il’in, V. A.; Moiseev, E. I. 7 2000 Longitudinal vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical travel times on each segment. Zbl 1423.74484Il’in, V. A. 7 2009 On the unconditional basis property for systems of eigenfunctions and associated functions of a second-order differential operator on a closed interval. Zbl 0548.34026Il’in, V. A. 7 1983 A mean value formula for adjoint functions of the Laplace operator. Zbl 0487.35028Il’in, V. A.; Moiseev, E. I. 7 1981 Conditions for the convergence of spectral expansions corresponding to self-adjoint extensions of elliptic operators. II: Self-adjoint extensions of Laplace’s operator with orbitary spectra. Zbl 0224.35015Alimov, Sh. A.; Il’in, V. A. 7 1971 Problems of convergence of multiple trigonometric series and spectral decompositions II. Zbl 0376.42002Alimov, Sh. A.; Il’in, V. A.; Nikishin, E. M. 6 1977 Optimization of a boundary control of an elastic force at one end of a string based on minimization of the integral of the modulus of the elastic force raised to an arbitrary power \(p \geq 1\). Zbl 1327.49010Il’in, V. A.; Moiseev, E. I. 6 2007 Boundary displacement control at one end of a string in the presence of a nonlocal boundary condition of one of four types, and its optimization. Zbl 1157.93021Il’in, V. A. 6 2008 Boundary control of a string oscillating at one end, with the other end fixed and under the condition of the existence of finite energy. Zbl 1090.93531Il’in, V. A. 5 2001 Problems of localization and convergence for Fourier series in fundamental systems of functions of the Laplace operator. Zbl 0189.35702Il’in, V. A. 5 1968 Reduction of the vibrations of an initially stationary rod consisting of two different segments to an arbitrary state. Zbl 1217.35185Il’in, V. A. 5 2010 On some properties of generalized solutions of the wave equation in the classes \(L _{p }\) and \(W^1_p\) for \(p \geq 1\). Zbl 1307.35153Il’in, V. A.; Kuleshov, A. A. 5 2012 Optimization of a boundary control by a displacement at one end of a string with second end free during an arbitrary sufficiently large time interval. Zbl 1151.49003Il’in, V. A.; Moiseev, E. I. 5 2007 Optimal boundary control by an elastic force at one end of a string with the other end being free for an arbitrary sufficiently large time interval. Zbl 1148.49021Il’in, V. A.; Moiseev, E. I. 5 2007 Boundary control of vibrations at one end, with the other end being fixed. Zbl 1043.93525Il’in, V. A. 4 1999 Über die Konvergenz von Entwicklungen nach Eigenfunktionen der Koeffizienten eines Differentialoperators in Unstetigkeitspunkten. Zbl 0364.34011Il’in, V. A. 4 1977 The system of root functions of the directional derivative problem is not a basis. Zbl 0828.35088Il’in, V. A.; Moiseev, E. I. 4 1994 Optimization of boundary controls by displacements at two ends of a string for an arbitrary sufficiently large time interval. Zbl 1180.74042Il’in, V. A.; Moiseev, E. I. 4 2007 On a boundary control at one end of a process described by the telegraph equation. Zbl 1146.93339Il’in, V. A.; Moiseev, E. I. 4 2002 Mathematical analysis. II: Continuation of the course. Textbook. (Matematicheskij analiz. II: Prodolzhenie kursa. Uchebnik). Zbl 0644.26002Il’in, V. A.; Sadovnichij, V. A.; Sendov, Bl. Kh. 4 1987 Necessary and sufficient conditions for the eigenvectors and associated vectors of discontinuous second order operators to be Riesz bases. Zbl 0619.34027Il’in, V. A. 4 1986 Proof of uniqueness and membership in \(W^1_2\) of the classical solution of a mixed problem for a self-adjoint hyperbolic equation. Zbl 0315.35055Il’in, V. A. 4 1975 Uniform estimate of eigenfunctions and upper estimate of the number of eigenvalues of Sturm-Liouville operator with potential from the class \(L^p\). Zbl 0416.34031Il’in, V. A.; Jo, I. 3 1979 Estimate of the difference of partial sums of expansions, corresponding to two arbitrary nonnegative self-adjoint extensions of two operators of Sturm-Liouville type, for absolutely continuous function. Zbl 0416.34032Il’in, V. A.; Jo, I. 3 1979 Basis property of systems of eigenfunctions and associated functions of nonselfadjoint operators, and the integrability of nonlinear evolution equations admitting a Lax representation. I. Zbl 0731.35070Il’in, V. A.; Mal’kov, K. V.; Moiseev, E. I. 3 1989 On systems consisting of subsets of root functions of two different boundary value problems. Zbl 0819.47059Il’in, V. A.; Moiseev, E. I. 3 1992 A terminal-boundary value problem that describes the process of damping the vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical wave travel times. Zbl 1202.35322Il’in, V. A. 3 2010 An upper bound on the diagonal for the spectral function of the many-dimensional Schrödinger operator with potential satisfying the Kato condition. Zbl 0946.35054Il’in, V. A.; Moiseev, E. I. 3 1998 Basis property and equiconvergence with the trigonometric series of root function expansions and the form of boundary conditions for a nonself-adjoint differential operator. Zbl 0852.34072Il’in, V. A. 3 1994 Equivalence of two definitions of a generalized \(L_p\) solution to the initial-boundary value problem for the wave equation. Zbl 1307.35157Il’in, V. A.; Kuleshov, A. A. 3 2014 Generalized solutions of initial-boundary value problems for a discontinuous wave equation in the case of equal impedances. Zbl 1183.35267Il’in, V. A.; Luferenko, P. V. 3 2009 An analytic form of optimal boundary controls of longitudinal oscillations of a rod consisting of two fragments with different densities and elasticities but equal impedances. Zbl 1423.74486Il’in, V. A.; Luferenko, P. V. 3 2009 A boundary control at two ends by a process described by the telegraph equation. Zbl 1128.49022Il’in, V. A.; Moiseev, E. I. 3 2004 Generalized solutions of the wave equation in the classes \(L _{p }\) and \(W^{1}_{p}\) with \( p \geq 1\). Zbl 1393.35124Il’in, V. A.; Kuleshov, A. A. 3 2012 An analytic form of an optimal boundary control by displacement at one end of a string under a model nonlocal boundary condition of one of four types. Zbl 1148.49019Il’in, V. A. 3 2008 Optimization of a control by an elastic boundary force during an arbitrary sufficiently large time interval \(T\) at one end of a string with second end free. Zbl 1151.49005Il’in, V. A.; Moiseev, E. I. 3 2007 Optimization of boundary controls by elastic boundary forces at two ends of a string during an arbitrary sufficiently large time interval \(T\). Zbl 1151.49006Il’in, V. A.; Moiseev, E. I. 3 2007 Optimization of the control by elastic boundary forces at two ends of a string in an arbitrarily large time interval. Zbl 1148.49022Il’in, V. A.; Moiseev, E. I. 3 2008 Optimal boundary control by the displacement of one endpoint of the string with the other endpoint being free in an arbitrarily large time interval. Zbl 1144.49023Il’in, V. A.; Moiseev, E. I. 3 2007 On uniform equiconvergence of expansions in eigen and associated functions of a non-selfadjoint ordinary differential operator and in trigonometric Fourier series. Zbl 0395.34022Il’in, V. A. 2 1975 On the existence of a reduced system of eigenfunctions and generalized eigenfunctions for a nonselfadjoint ordinary differential operator. Zbl 0434.34018Il’in, V. A. 2 1976 Notwendige und hinreichende Bedingungen der Basiseigenschaft und der Äquikonvergenz mit der Fourierreihe von Spektralentwicklungen. I, II. Zbl 0449.42025Il’in, V. A. 2 1980 An a priori bound for a solution of the problem conjugate to a nonlocal boundary-value problem of the first kind. Zbl 0715.34031Il’in, V. A.; Moiseev, E. I. 2 1988 Componentwise equiconvergence with a trigonometric series of expansions with respect to root vector-functions of the Schrödinger operator with non-Hermitian matrix potential all elements of which are only summable. Zbl 0741.34053Il’in, V. A. 2 1991 On the solvability of the Dirichlet and Neumann problems for a linear elliptic operator with discontinuous coefficients. Zbl 0104.32402Il’in, V. A. 2 1961 Uniform estimate over the whole line for generalized eigenfunctions of the one-dimensional Schrödinger operator with a uniformly locally summable potential. Zbl 0863.34082Il’in, V. A.; Kritskov, L. V. 2 1995 Uniform estimate over the entire line \(\mathbb{R}\) for the rate of convergence of the spectral expansion related to the Schrödinger operator with summable potential. Zbl 0874.34071Il’in, V. A.; Kritskov, L. V. 2 1996 Spectral expansions corresponding to the Liouville operator generated by the Schrödinger operator with uniformly locally integrable potential. Zbl 0884.34081Antoniu, I.; Il’in, V. A. 2 1996 Optimization of the boundary displacement control of vibrations of a rod consisting of two dissimilar parts. Zbl 1251.49004Il’in, V. A. 2 2011 Optimization of elasticity-induced boundary control for the vibrations of a rod consisting of two different segments. Zbl 1357.74049Il’in, V. A. 2 2011 Spectral theory of differential operators. Self-adjoint differential operators. Transl. from the Russian. Zbl 0874.35002Il’in, V. A. 2 1995 A d’Alembert-type formula for transverse oscillations of an infinite rod consisting of two segments with different densities. Zbl 1177.74221Il’in, V. A. 2 2009 Necessary and sufficient conditions for a generalized solution to the initial-boundary value problem for the wave equation to belong to \(W_p^1\) with \(p\geq 1\). Zbl 1288.35329Il’in, V. A.; Kuleshov, A. A. 2 2013 The wave equation with a boundary control at both endpoints on an arbitrary time interval. Zbl 0982.93043Il’in, V. A. 2 1999 Necessary and sufficient condition for the generalized solution of a mixed problem for the wave equation to belong to the class \(L_{p}\) for \(p \geq 1\). Zbl 1263.35157Il’in, V. A.; Kuleshov, A. A. 2 2012 A nonlocal boundary value problem for the Sturm-Liouville operator in the differential and difference treatments. Zbl 0643.34016Il’in, V. A.; Moiseev, E. I. 2 1987 Optimization of an optimal boundary control by an elastic force at one end of a string under a model nonlocal boundary condition of one of four types. Zbl 1148.49020Il’in, V. A. 2 2008 The nature of the spectrum of a selfadjoint extension of the Laplace operator in a bounded region (fundamental systems of functions with an arbitrary preassigned subsequence of fundamental numbers). Zbl 0209.41302Il’in, V. A.; Filippov, A. F. 2 1970 Dynamics of electroconvective structures in a weakly conducting liquid. Zbl 1271.76379Il’in, V. A.; Smorodin, B. L. 2 2008 Nikolai Alekseevich Izobov (a tribute in honor of his 70th birthday). Zbl 1191.01030Arutyunov, A. V.; Bibikov, Yu. N.; Emel’yanov, S. V.; Gaishun, I. V.; Il’in, V. A.; Kiguradze, I. T.; Korovin, S. K.; Kudryavtsev, L. D.; Kurzhanskii, A. B.; Makarov, E. K.; Martynyuk, A. A.; Mazanik, S. A.; Mishchenko, E. F.; Moiseev, E. I.; Osipov, Yu. S.; Pliss, V. A.; Rozov, N. Kh.; Sadovnichii, V. A.; Samoilenko, A. M.; Shemyakina, T. K.; Vasil’ev, F. P. 2 2010 Fragen der Konvergenz mehrfacher trigonometrischer Reihen und Spektralentwicklungen. Zbl 0345.42005Alimov, Sh. A.; Il’in, V. A.; Nikishin, E. M. 2 1976 Necessary and sufficient conditions for a subsystem of the eigen- and associated functions of a Keldys bundle of ordinary differential operators to be a basis. Zbl 0352.34026Il’in, V. A. 1 1976 Nikolai Nikolaevich Krasovskiǐ (a tribute in honor of his 80th birthday). Zbl 1169.01306Anosov, D. V.; Chernous’ko, F. L.; Emel’yanov, S. V.; Gamkrelidze, R. V.; Il’in, V. A.; Korovin, S. K.; et al. 1 2004 A uniform bound on the eigenfunctions and an upper bound on the number of eigenvalues of the Sturm-Liouville operator. Zbl 0418.34030Il’in, V. A.; Io, I. 1 1978 Necessary and sufficient conditions for the functions used in spectral expansions to form a basis, and for the equiconvergence of spectral expansions and trigonometric series. I. Zbl 0473.42018Il’in, V. A. 1 1980 Boundary control of the vibrations of a string at two endpoints under the condition of the existence of finite energy. Zbl 1090.93507Il’in, V. A. 1 2001 Optimal boundary control of a string by an elastic force applied at one end, the other end being free. Zbl 1080.93009Il’in, V. A.; Moiseev, E. I. 1 2005 On the connection between the classical and the generalized solution of Dirichlet’s problem and the problem of eigenvalues. Zbl 0104.07701Il’in, V. A.; Shishmarev, I. A. 1 1959 The Fourier method for a hyperbolic equation with discontinuous coefficients. Zbl 0154.36001Il’in, V. A. 1 1962 Obituary. Anatolii Platonovich Prudnikov (1927-1999). Zbl 0938.01039Glaeske, H.-J.; Il’in, V. A.; Kilbas, A. A.; Moiseev, E. I.; Saigo, M.; Samko, S. G. 1 1999 Uniform equiconvergence on the entire axis \(\mathbb{R}\) to a Fourier integral of the spectral expansion corresponding to a self-adjoint extension of the Schrödinger operator with uniformly locally integrable potential. Zbl 0874.34070Il’in, V. A. 1 1995 Order-exact estimates, uniform in \(\mathbb{R}^ N\) for \(N=2\) and \(N=3\) of the squared fundamental functions of the selfadjoint extension in \(\mathbb{R}^ N\) of the Schrödinger operator with potential satisfying the Kato condition. Zbl 0886.35105Il’in, V. A.; Moiseev, E. I. 1 1996 Evgenii Leonidovich Tonkov (A tribute in honor of his seventieth birthday). Zbl 1201.01018Chentsov, A. G.; Il’in, V. A.; Izobov, N. A.; Krasovskii, N. N.; Kurzhanskii, A. B.; Petrov, N. N.; Popova, S. N.; Rozov, N. Kh.; Shemyakina, T. K.; Ushakov, V. N. 1 2010 An estimate of the spectral function of the self-adjoint extension in \(\mathbb{R}^2\) of the Schrödinger operator with potential satisfying the Stummel condition. Zbl 1003.35102Il’in, V. A. 1 1998 Über die Konvergenz der Entwicklungen nach Eigenfunktionen des Laplaceschen Operators. Zbl 0079.29201Il’in, V. A. 1 1958 Über die gleichmäßige Konvergenz der Entwicklungen nach Eigenfunktionen in jedem abgeschlossenen Bereich. Zbl 0081.06403Il’in, V. A. 1 1958 Sufficient conditions for expandability of a function in an absolutely and uniformly convergent series of eigenfunctions. Zbl 0082.05401Il’in, V. A. 1 1958 Im abgeschlossenen Bereich gleichmäßige Abschätzungen für die Eigenfunktionen eines elliptischen Operators und ihrer Ableitungen. Zbl 0095.08201Il’in, V. A.; Shishmarev, I. A. 1 1960 Basis property of the system of root functions of nonselfadjoint operators and the integrability of the nonlinear evolution equations, associated through the Lax representation. Zbl 0954.37500Il’in, V. A.; Mal’kov, K. V.; Moiseev, E. I. 1 1989 Equiconvergence, with trigonometric series, of expansions in root functions of a one-dimensional Schrödinger operator with a complex potential in the class \(L_ 1\). Zbl 0779.34065Il’in, V. A. 1 1991 The model of electric connection of a low-conductivity liquid in high-frequency electric field. Zbl 1393.76136Il’in, V. A.; Ponomareva, L. A. 1 2018 Equivalence of two definitions of a generalized \(L_p\) solution to the initial-boundary value problem for the wave equation. Zbl 1307.35157Il’in, V. A.; Kuleshov, A. A. 3 2014 Necessary and sufficient conditions for a generalized solution to the initial-boundary value problem for the wave equation to belong to \(W_p^1\) with \(p\geq 1\). Zbl 1288.35329Il’in, V. A.; Kuleshov, A. A. 2 2013 On some properties of generalized solutions of the wave equation in the classes \(L _{p }\) and \(W^1_p\) for \(p \geq 1\). Zbl 1307.35153Il’in, V. A.; Kuleshov, A. A. 5 2012 Generalized solutions of the wave equation in the classes \(L _{p }\) and \(W^{1}_{p}\) with \( p \geq 1\). Zbl 1393.35124Il’in, V. A.; Kuleshov, A. A. 3 2012 Necessary and sufficient condition for the generalized solution of a mixed problem for the wave equation to belong to the class \(L_{p}\) for \(p \geq 1\). Zbl 1263.35157Il’in, V. A.; Kuleshov, A. A. 2 2012 Criterion for a generalized solution in the class \(L_p\) for the wave equation to be in the class \(W_p^1\). Zbl 1270.35296Il’in, V. A.; Kuleshov, A. A. 1 2012 Optimization of the boundary displacement control of vibrations of a rod consisting of two dissimilar parts. Zbl 1251.49004Il’in, V. A. 2 2011 Optimization of elasticity-induced boundary control for the vibrations of a rod consisting of two different segments. Zbl 1357.74049Il’in, V. A. 2 2011 Reduction of the vibrations of an initially stationary rod consisting of two different segments to an arbitrary state. Zbl 1217.35185Il’in, V. A. 5 2010 A terminal-boundary value problem that describes the process of damping the vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical wave travel times. Zbl 1202.35322Il’in, V. A. 3 2010 Nikolai Alekseevich Izobov (a tribute in honor of his 70th birthday). Zbl 1191.01030Arutyunov, A. V.; Bibikov, Yu. N.; Emel’yanov, S. V.; Gaishun, I. V.; Il’in, V. A.; Kiguradze, I. T.; Korovin, S. K.; Kudryavtsev, L. D.; Kurzhanskii, A. B.; Makarov, E. K.; Martynyuk, A. A.; Mazanik, S. A.; Mishchenko, E. F.; Moiseev, E. I.; Osipov, Yu. S.; Pliss, V. A.; Rozov, N. Kh.; Sadovnichii, V. A.; Samoilenko, A. M.; Shemyakina, T. K.; Vasil’ev, F. P. 2 2010 Evgenii Leonidovich Tonkov (A tribute in honor of his seventieth birthday). Zbl 1201.01018Chentsov, A. G.; Il’in, V. A.; Izobov, N. A.; Krasovskii, N. N.; Kurzhanskii, A. B.; Petrov, N. N.; Popova, S. N.; Rozov, N. Kh.; Shemyakina, T. K.; Ushakov, V. N. 1 2010 Mixed problems describing longitudinal oscillations of a rod consisting of two segments with different densities and different elasticities but equal impedances. Zbl 1423.74485Il’in, V. A.; Luferenko, P. V. 8 2009 Longitudinal vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical travel times on each segment. Zbl 1423.74484Il’in, V. A. 7 2009 Generalized solutions of initial-boundary value problems for a discontinuous wave equation in the case of equal impedances. Zbl 1183.35267Il’in, V. A.; Luferenko, P. V. 3 2009 An analytic form of optimal boundary controls of longitudinal oscillations of a rod consisting of two fragments with different densities and elasticities but equal impedances. Zbl 1423.74486Il’in, V. A.; Luferenko, P. V. 3 2009 A d’Alembert-type formula for transverse oscillations of an infinite rod consisting of two segments with different densities. Zbl 1177.74221Il’in, V. A. 2 2009 Nikolai Nikolaevich Krasovskii (A tribute in honor of his eighty-fifth birthday). Zbl 1179.01035Anosov, D. V.; Chernous’ko, F. L.; Emel’yanov, S. V.; Gamkrelidze, R. V.; Il’in, V. A.; Korovin, S. K.; Kurzhanskii, A. B.; Marchuk, G. I.; Matrosov, V. M.; Mishchenko, E. F.; Moiseev, E. I.; Osipov, Yu. S.; Pliss, V. A. 1 2009 A d’Alembert-type formula for longitudinal oscillations of an infinite rod consisting of two segments with different densities and elasticities. Zbl 1205.35157Il’in, V. A. 1 2009 Uniqueness of generalized solutions of mixed problems for the wave equation with nonlocal boundary conditions. Zbl 1194.35229Il’in, V. A. 9 2008 Boundary displacement control at one end of a string in the presence of a nonlocal boundary condition of one of four types, and its optimization. Zbl 1157.93021Il’in, V. A. 6 2008 An analytic form of an optimal boundary control by displacement at one end of a string under a model nonlocal boundary condition of one of four types. Zbl 1148.49019Il’in, V. A. 3 2008 Optimization of the control by elastic boundary forces at two ends of a string in an arbitrarily large time interval. Zbl 1148.49022Il’in, V. A.; Moiseev, E. I. 3 2008 Optimization of an optimal boundary control by an elastic force at one end of a string under a model nonlocal boundary condition of one of four types. Zbl 1148.49020Il’in, V. A. 2 2008 Dynamics of electroconvective structures in a weakly conducting liquid. Zbl 1271.76379Il’in, V. A.; Smorodin, B. L. 2 2008 Uniqueness theorems for generalized solutions to four mixed problems for the wave equation with nonlocal boundary conditions. Zbl 1187.35175Il’in, V. A. 1 2008 On the independence of optimal boundary controls of string vibrations on the choice of the coordination point of initial and terminal conditions. Zbl 1144.49022Il’in, V. A. 1 2008 Optimization of a boundary control of an elastic force at one end of a string based on minimization of the integral of the modulus of the elastic force raised to an arbitrary power \(p \geq 1\). Zbl 1327.49010Il’in, V. A.; Moiseev, E. I. 6 2007 Optimization of a boundary control by a displacement at one end of a string with second end free during an arbitrary sufficiently large time interval. Zbl 1151.49003Il’in, V. A.; Moiseev, E. I. 5 2007 Optimal boundary control by an elastic force at one end of a string with the other end being free for an arbitrary sufficiently large time interval. Zbl 1148.49021Il’in, V. A.; Moiseev, E. I. 5 2007 Optimization of boundary controls by displacements at two ends of a string for an arbitrary sufficiently large time interval. Zbl 1180.74042Il’in, V. A.; Moiseev, E. I. 4 2007 Optimization of a control by an elastic boundary force during an arbitrary sufficiently large time interval \(T\) at one end of a string with second end free. Zbl 1151.49005Il’in, V. A.; Moiseev, E. I. 3 2007 Optimization of boundary controls by elastic boundary forces at two ends of a string during an arbitrary sufficiently large time interval \(T\). Zbl 1151.49006Il’in, V. A.; Moiseev, E. I. 3 2007 Optimal boundary control by the displacement of one endpoint of the string with the other endpoint being free in an arbitrarily large time interval. Zbl 1144.49023Il’in, V. A.; Moiseev, E. I. 3 2007 Optimization of boundary controls by displacements at two ends of a string during an arbitrary sufficiently large time interval. Zbl 1151.49004Il’in, V. A.; Moiseev, E. I. 1 2007 Minimization of the \(L_{p}\)-norm with arbitrary \(p \geq 1\) of the derivative of a boundary displacement control on an arbitrary sufficiently large time interval t. Zbl 1131.49028Il’in, V. A.; Moiseev, E. I. 11 2006 Optimization of a boundary control by a displacement at one end of a string based on minimization of the integral of the modulus of the derivative of the displacement raised to an arbitrary power \(p \geq 1\). Zbl 1204.49017Il’in, V. A.; Moiseev, E. I. 9 2006 Optimization of the boundary control of string vibrations by an elastic force on an arbitrary sufficiently large time interval. Zbl 1132.49032Il’in, V. A.; Moiseev, E. I. 8 2006 Optimization of boundary controls of string vibrations. Zbl 1145.35338Il’in, V. A.; Moiseev, E. I. 27 2005 Optimal boundary control of a string by an elastic force applied at one end, the other end being free. Zbl 1080.93009Il’in, V. A.; Moiseev, E. I. 1 2005 A boundary control at two ends by a process described by the telegraph equation. Zbl 1128.49022Il’in, V. A.; Moiseev, E. I. 3 2004 Nikolai Nikolaevich Krasovskiǐ (a tribute in honor of his 80th birthday). Zbl 1169.01306Anosov, D. V.; Chernous’ko, F. L.; Emel’yanov, S. V.; Gamkrelidze, R. V.; Il’in, V. A.; Korovin, S. K.; et al. 1 2004 Properties of spectral expansions corresponding to non-self-adjoint differential operators. Zbl 1066.47044Il’in, V. A.; Kritskov, L. V. 25 2003 On a boundary control at one end of a process described by the telegraph equation. Zbl 1146.93339Il’in, V. A.; Moiseev, E. I. 4 2002 Boundary control of the process described by the equation \(k(x)[k(x)u_x(x,t)]_x-u_{tt}(x,t)=0\). Zbl 1146.93338Il’in, V. A. 1 2002 Boundary control of a string oscillating at one end, with the other end fixed and under the condition of the existence of finite energy. Zbl 1090.93531Il’in, V. A. 5 2001 Boundary control of the vibrations of a string at two endpoints under the condition of the existence of finite energy. Zbl 1090.93507Il’in, V. A. 1 2001 Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation. Zbl 1005.93023Il’in, V. A. 29 2000 Boundary control of oscillations at one endpoint with the other endpoint fixed in terms of a finite-energy generalized solution of the wave equation. Zbl 0989.35027Il’in, V. A. 21 2000 Uniqueness of the solution of a mixed problem for the wave equation with nonlocal boundary conditions. Zbl 1194.35228Il’in, V. A.; Moiseev, E. I. 7 2000 The wave equation with a boundary control at both endpoints and the complete vibration damping problem. Zbl 0977.35024Il’in, V. A.; Tikhomirov, V. V. 9 1999 Boundary control of vibrations at one end, with the other end being fixed. Zbl 1043.93525Il’in, V. A. 4 1999 The wave equation with a boundary control at both endpoints on an arbitrary time interval. Zbl 0982.93043Il’in, V. A. 2 1999 Obituary. Anatolii Platonovich Prudnikov (1927-1999). Zbl 0938.01039Glaeske, H.-J.; Il’in, V. A.; Kilbas, A. A.; Moiseev, E. I.; Saigo, M.; Samko, S. G. 1 1999 An upper bound on the diagonal for the spectral function of the many-dimensional Schrödinger operator with potential satisfying the Kato condition. Zbl 0946.35054Il’in, V. A.; Moiseev, E. I. 3 1998 An estimate of the spectral function of the self-adjoint extension in \(\mathbb{R}^2\) of the Schrödinger operator with potential satisfying the Stummel condition. Zbl 1003.35102Il’in, V. A. 1 1998 Uniform estimate over the entire line \(\mathbb{R}\) for the rate of convergence of the spectral expansion related to the Schrödinger operator with summable potential. Zbl 0874.34071Il’in, V. A.; Kritskov, L. V. 2 1996 Spectral expansions corresponding to the Liouville operator generated by the Schrödinger operator with uniformly locally integrable potential. Zbl 0884.34081Antoniu, I.; Il’in, V. A. 2 1996 Order-exact estimates, uniform in \(\mathbb{R}^ N\) for \(N=2\) and \(N=3\) of the squared fundamental functions of the selfadjoint extension in \(\mathbb{R}^ N\) of the Schrödinger operator with potential satisfying the Kato condition. Zbl 0886.35105Il’in, V. A.; Moiseev, E. I. 1 1996 Uniform estimate over the whole line for generalized eigenfunctions of the one-dimensional Schrödinger operator with a uniformly locally summable potential. Zbl 0863.34082Il’in, V. A.; Kritskov, L. V. 2 1995 Spectral theory of differential operators. Self-adjoint differential operators. Transl. from the Russian. Zbl 0874.35002Il’in, V. A. 2 1995 Uniform equiconvergence on the entire axis \(\mathbb{R}\) to a Fourier integral of the spectral expansion corresponding to a self-adjoint extension of the Schrödinger operator with uniformly locally integrable potential. Zbl 0874.34070Il’in, V. A. 1 1995 The system of root functions of the directional derivative problem is not a basis. Zbl 0828.35088Il’in, V. A.; Moiseev, E. I. 4 1994 Basis property and equiconvergence with the trigonometric series of root function expansions and the form of boundary conditions for a nonself-adjoint differential operator. Zbl 0852.34072Il’in, V. A. 3 1994 On systems consisting of subsets of root functions of two different boundary value problems. Zbl 0819.47059Il’in, V. A.; Moiseev, E. I. 3 1992 Spectral theory of differential operators. Selfadjoint differential operators. (Spektral’naya teoriya differentsial’nykh operatorov. Samosopryazhennye differentsial’nye operatory.) Zbl 0759.47026Il’in, V. A. 15 1991 Componentwise equiconvergence with a trigonometric series of expansions with respect to root vector-functions of the Schrödinger operator with non-Hermitian matrix potential all elements of which are only summable. Zbl 0741.34053Il’in, V. A. 2 1991 Equiconvergence, with trigonometric series, of expansions in root functions of a one-dimensional Schrödinger operator with a complex potential in the class \(L_ 1\). Zbl 0779.34065Il’in, V. A. 1 1991 A mean value formula for root functions of the Schrödinger operator. Zbl 0738.35016Il’in, V. A.; Moiseev, E. I. 1 1991 Two-dimensional nonlocal boundary value problem for Poisson operator in differential and difference treatments. Zbl 0993.35500Il’in, V. A.; Moiseev, E. I. 13 1990 On the Riesz basis property of systems of root vector-valued functions of a discontinuous Schrödinger operator with matrix potential. Zbl 0779.35027Il’in, V. A. 1 1990 Basis property of systems of eigenfunctions and associated functions of nonselfadjoint operators, and the integrability of nonlinear evolution equations admitting a Lax representation. I. Zbl 0731.35070Il’in, V. A.; Mal’kov, K. V.; Moiseev, E. I. 3 1989 Basis property of the system of root functions of nonselfadjoint operators and the integrability of the nonlinear evolution equations, associated through the Lax representation. Zbl 0954.37500Il’in, V. A.; Mal’kov, K. V.; Moiseev, E. I. 1 1989 An a priori estimate of the solution of a problem associated to a nonlocal boundary value problem of first kind. Zbl 0641.34016Il’in, V. A.; Moiseev, E. I. 9 1988 An a priori bound for a solution of the problem conjugate to a nonlocal boundary-value problem of the first kind. Zbl 0715.34031Il’in, V. A.; Moiseev, E. I. 2 1988 Analytic geometry. Textbook. 4th ed., compl. (Analiticheskaya geometriya. Uchebnoe posobie.) Zbl 0634.51002Il’in, V. A.; Poznyak, Eh. G. 1 1988 A bound for the difference between Riesz means of two spectral expansions of functions from the class \(L_ 2\). Zbl 0699.35191Il’in, V. A. 1 1988 Nonlocal boundary-value problem of the second kind for a Sturm-Liouville operator. Zbl 0668.34024Il’in, V. A.; Moiseev, E. I. 227 1987 Nonlocal boundary-value problem of the first kind for a Sturm-Liouville operator in its differential and finite-difference aspects. Zbl 0668.34025Il’in, V. A.; Mojseev, E. I. 150 1987 Nonlocal boundary value problem of the first kind for the Sturm-Liouville operator in the differential and difference treatments. Zbl 0636.34019Il’in, V. A.; Moiseev, E. I. 13 1987 Mathematical analysis. II: Continuation of the course. Textbook. (Matematicheskij analiz. II: Prodolzhenie kursa. Uchebnik). Zbl 0644.26002Il’in, V. A.; Sadovnichij, V. A.; Sendov, Bl. Kh. 4 1987 A nonlocal boundary value problem for the Sturm-Liouville operator in the differential and difference treatments. Zbl 0643.34016Il’in, V. A.; Moiseev, E. I. 2 1987 Necessary and sufficient conditions for the eigenvectors and associated vectors of discontinuous second order operators to be Riesz bases. Zbl 0619.34027Il’in, V. A. 4 1986 Inequalities of Bessel and Hausdorff-Young-Riesz type for functions in the class of radial functions, with respect to a system of eigenfunctions of the Laplace operator. Zbl 0634.47018Il’in, V. A.; Joó, Istvan 1 1986 On the unconditional basis property for systems of eigenfunctions and associated functions of a second-order differential operator on a closed interval. Zbl 0548.34026Il’in, V. A. 7 1983 A mean value formula for adjoint functions of the Laplace operator. Zbl 0487.35028Il’in, V. A.; Moiseev, E. I. 7 1981 Notwendige und hinreichende Bedingungen der Basiseigenschaft und der Äquikonvergenz mit der Fourierreihe von Spektralentwicklungen. I, II. Zbl 0449.42025Il’in, V. A. 2 1980 Necessary and sufficient conditions for the functions used in spectral expansions to form a basis, and for the equiconvergence of spectral expansions and trigonometric series. I. Zbl 0473.42018Il’in, V. A. 1 1980 Uniform estimate of eigenfunctions and upper estimate of the number of eigenvalues of Sturm-Liouville operator with potential from the class \(L^p\). Zbl 0416.34031Il’in, V. A.; Jo, I. 3 1979 Estimate of the difference of partial sums of expansions, corresponding to two arbitrary nonnegative self-adjoint extensions of two operators of Sturm-Liouville type, for absolutely continuous function. Zbl 0416.34032Il’in, V. A.; Jo, I. 3 1979 A uniform bound on the eigenfunctions and an upper bound on the number of eigenvalues of the Sturm-Liouville operator. Zbl 0418.34030Il’in, V. A.; Io, I. 1 1978 Problems of convergence of multiple trigonometric series and spectral decompositions II. Zbl 0376.42002Alimov, Sh. A.; Il’in, V. A.; Nikishin, E. M. 6 1977 Über die Konvergenz von Entwicklungen nach Eigenfunktionen der Koeffizienten eines Differentialoperators in Unstetigkeitspunkten. Zbl 0364.34011Il’in, V. A. 4 1977 Convergence problems of multiple trigonometric series and spectral decompositions. I. Zbl 0367.42008Alimov, Sh. A.; Il’in, V. A.; Nikishin, E. M. 20 1976 On the existence of a reduced system of eigenfunctions and generalized eigenfunctions for a nonselfadjoint ordinary differential operator. Zbl 0434.34018Il’in, V. A. 2 1976 Fragen der Konvergenz mehrfacher trigonometrischer Reihen und Spektralentwicklungen. Zbl 0345.42005Alimov, Sh. A.; Il’in, V. A.; Nikishin, E. M. 2 1976 Necessary and sufficient conditions for a subsystem of the eigen- and associated functions of a Keldys bundle of ordinary differential operators to be a basis. Zbl 0352.34026Il’in, V. A. 1 1976 Petr Ivanovich Kuznetsov (Zum 40. Jahr der wissenschaftlichen Tätigkeit). Zbl 0318.01020Bol’shev, L. N.; Il’in, V. A.; Krasovskij, N. N.; Prokhorov, Yu. V.; Sotskov, B. S.; Tikhonov, A. N. 1 1976 Proof of uniqueness and membership in \(W^1_2\) of the classical solution of a mixed problem for a self-adjoint hyperbolic equation. Zbl 0315.35055Il’in, V. A. 4 1975 ...and 19 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 566 Authors 47 Ge, Weigao 24 Il’in, Vladimir Aleksandrovich 18 Ashurov, Ravshan Rajabovich 15 Ma, Ruyun 13 Guo, Yanping 13 Kritskov, Leonid V. 13 Liu, Yuji 11 Liu, Bing 11 Moiseev, Evgeniĭ Ivanovich 10 Gupta, Chaitan P. 9 Feng, Hanying 9 Potapov, Mikhaĭl Mikhaĭlovich 8 Ahmad, Bashir 8 Ji, Dehong 7 Ji, Yude 7 Khromov, Avgust Petrovich 7 Liu, Lishan 7 Lomov, Igor’ Sergeevich 7 Yuldashev, Tursun Kamaldinovich 6 Bai, Zhanbing 6 Du, Zengji 6 Feng, Meiqiang 6 Ntouyas, Sotiris K. 6 Pang, Huihui 6 Wang, Youyu 6 Zhao, Junfang 5 Abdukarimov, M. F. 5 Al-saedi, Ahmed Eid Salem 5 Kholomeeva, Anna A. 5 Kuleshov, Aleksandr Andreevich 5 Luca, Rodica 5 Polovinkin, Igor P. 5 Sarsenbi, Abdizhahan Manapovich 5 Smirnov, I. N. 5 Sun, Bo 5 Tsamatos, Panagiotis Ch. 5 Wu, Yonghong 4 Ashyralyev, Allaberen 4 Barseghyan, Vanya Rafaelovich 4 Burlutskaya, Marija Shaukatovna 4 Chen, Shihua 4 Colzani, Leonardo 4 Dryazhenkov, Andrey A. 4 Gimaltdinova, Alfira Avkalevna 4 Henderson, Johnny Lee 4 Kozhanov, Aleksandr Ivanovich 4 Liu, Xiujun 4 Mitrokhin, Sergeĭ Ivanovich 4 Shen, Jianhua 4 Štikonas, Artūras 4 Sun, Yongping 4 Volkov, Evgeniĭ Alekseevich 4 Yang, Zhilin 4 Zhang, Jihui 3 Agarwal, Ravi P. 3 Alimov, Shavkat Arifdzhanovich 3 Attaev, Anatoliĭ Khuseevich 3 Bai, Chuanzhi 3 Chernyshov, A. D. 3 Grona, V. L. 3 Hamal, Nuket Aykut 3 Hao, Xin’an 3 Jangveladze, Temur A. 3 Jiang, Weihua 3 Karakostas, George L. 3 Kiguradze, Ivan Tarielovich 3 Kim, Chan-Gyun 3 Kirichek, Vitaliya Aleksandrovna 3 Kong, Lingju 3 Kozlova, Elena Aleksandrovna 3 Lian, Hairong 3 Liang, Sihua 3 Lin, Xiaojie 3 Luferenko, P. V. 3 Ma, Dexiang 3 Mokrousov, Il’ya Sergeevich 3 Nieto Roig, Juan Jose 3 Prasad, Kapula Rajendra 3 Rogozhnikov, A. M. 3 Sapagovas, Mifodijus 3 Satimov, Numan Yunusovich 3 Skubachevskiĭ, Aleksandr Leonidovich 3 Sreedhar, Namburi 3 Su, Hua 3 Travaglini, Giancarlo 3 Tukhtasinov, M. T. 3 Vu Kim Tuan 3 Wang, Weibing 3 Wei, Zhongli 3 Zhang, Guang 3 Zhang, Xuemei 2 Ahmedov, Anvarjon Ahatjonovich 2 Alsulami, Mona 2 Amiraliyev, Gabil M. 2 Andreev, Viktor Konstantinovich 2 Avalishvili, Mariam 2 Bai, Donglong 2 Beshtokova, Zar’yana Vladimirovna 2 Borodinova, D. Yu. 2 Boumenir, Amin A. ...and 466 more Authors all top 5 Cited in 129 Serials 54 Differential Equations 48 Doklady Mathematics 46 Nonlinear Analysis. Theory, Methods & Applications. 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Theory, Methods & Applications 4 Moscow University Mathematics Bulletin 4 Proceedings of the American Mathematical Society 4 Automation and Remote Control 4 Fractional Calculus & Applied Analysis 3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 3 Journal of Functional Analysis 3 Acta Mathematicae Applicatae Sinica. English Series 3 Computational Mathematics and Modeling 3 The Journal of Fourier Analysis and Applications 3 Mathematical Modelling and Analysis 3 Mediterranean Journal of Mathematics 3 Complex Variables and Elliptic Equations 3 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 3 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 2 Journal of Applied Mathematics and Mechanics 2 Rocky Mountain Journal of Mathematics 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Approximation Theory 2 Journal of Soviet Mathematics 2 Mathematica Slovaca 2 Results in Mathematics 2 Siberian Mathematical Journal 2 Moscow University Computational Mathematics and Cybernetics 2 Acta Applicandae Mathematicae 2 Optimization 2 Journal of Integral Equations and Applications 2 Applications of Mathematics 2 Turkish Journal of Mathematics 2 Journal of Inverse and Ill-Posed Problems 2 Integral Transforms and Special Functions 2 Journal of Applied Mechanics and Technical Physics 2 Discrete Dynamics in Nature and Society 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Applied Mathematics 2 Hacettepe Journal of Mathematics and Statistics 2 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 2 Tbilisi Mathematical Journal 2 Matematicheskaya Teoriya Igr i eë Prilozheniya 2 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 2 Journal of Function Spaces 2 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 2 Vestnik Rossiĭskikh Universitetov. Matematika 1 Applicable Analysis 1 Fluid Dynamics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Studia Mathematica 1 Prikladnaya Matematika i Mekhanika 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Le Matematiche 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Tôhoku Mathematical Journal. Second Series 1 Systems & Control Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 Cybernetics and Systems Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Computer and Systems Sciences International 1 Applied Mathematics. Series B (English Edition) 1 International Applied Mechanics 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Sbornik: Mathematics 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems ...and 29 more Serials all top 5 Cited in 31 Fields 331 Ordinary differential equations (34-XX) 191 Partial differential equations (35-XX) 132 Operator theory (47-XX) 51 Mechanics of deformable solids (74-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 39 Numerical analysis (65-XX) 37 Systems theory; control (93-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 17 Integral equations (45-XX) 10 Difference and functional equations (39-XX) 10 Functional analysis (46-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Fluid mechanics (76-XX) 6 Abstract harmonic analysis (43-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of particles and systems (70-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Real functions (26-XX) 4 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Sequences, series, summability (40-XX) 2 Quantum theory (81-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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