Edit Profile (opens in new tab) Sidorov, Nikolaĭ Aleksandrovich Co-Author Distance Author ID: sidorov.nikolai-aleksandrovich Published as: Sidorov, N. A.; Sidorov, Nikolaĭ Aleksandrovich; Sidorov, Nikolai A.; Sidorov, N.; Sidorov, Nikolaj Aleksandrovich; Sidorov, Nikolay Aleksandrovich; Sidorov, Nikolay; Sidorov, Nicholas A.; Sidorov, Nikolay A. more...less External Links: MGP · ORCID · Wikidata · Math-Net.Ru Documents Indexed: 129 Publications since 1967, including 5 Books and 7 Additional arXiv Preprints 1 Contribution as Editor Biographic References: 5 Publications Co-Authors: 44 Co-Authors with 89 Joint Publications 666 Co-Co-Authors all top 5 Co-Authors 40 single-authored 31 Sidorov, Denis Nikolaevich 13 Sinitsyn, Aleksandr Vladimirovich 13 Trenogin, Vladilen Aleksandrovich 11 Loginov, Boris Vladimirovich 8 Falaleev, Mikhail Valentinovich 8 Romanova, Olga Aleksandrovna 5 Abdullin, V. R. 4 Trufanov, Andrej Viktorovich 3 Leont’ev, Roman Yur’evich 3 Li, Yong 3 Markov, Yu. A. 3 Muftahov, Ildar Rinatovich 3 Rudykh, Gennady Alekseevich 2 Blagodatskaya, E. B. 2 Dreglea Sidorov, Lev Ryan D. 2 Dreglea, Aliona I. 2 Tolstonogov, D. A. 1 Boĭkov, Il’ya Vladimirovich 1 Chuchaev, Ivan Ivanovich 1 Desyaev, E. V. 1 Dregleya, Alena Ivanovna 1 Dreglya, Alena Ivanovna 1 Egorova, D. K. 1 Falaleev, Michail Valentinovich 1 Grines, Vyacheslav Zigmundovich 1 Krasnik, A. V. 1 Kuznetsov, Evgenii Borisovich 1 Lvov, A. G. 1 Mamedova, T. F. 1 Markanova, D. Yu. 1 Muryumin, Sergeĭ Mikhaĭlovich 1 Noeiaghdam, Samad 1 Pulyaevskaya, O. N. 1 Rakhimov, Davran Ganiyevich 1 Rendón, Leonardo A. 1 Rusak, Yuriĭ Borisovich 1 Ryazantseva, Irina Prokof’evna 1 Senin, P. V. 1 Shamanaev, Pavel A. 1 Sukharev, Lev Aleksandrovich 1 Tishkin, Vladimir Fëdorovich 1 Tolstonogov, Aleksandr Aleksandrovich 1 Tynda, Alexander N. 1 Vel’misov, Pëtr Aleksandrovich 1 Zhalnin, Ruslan Viktorovich all top 5 Serials 17 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 9 Differential Equations 8 Differentsial’nye Uravneniya 7 Mathematical Notes 5 Siberian Mathematical Journal 4 Soviet Mathematics. Doklady 4 Differential Equations 4 Matematicheskoe Modelirovanie 3 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 3 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 2 Automation and Remote Control 2 Buletinul Academiei de Științe a Republicii Moldova. Matematica 2 Sbornik: Mathematics 2 Doklady Mathematics 2 Lobachevskii Journal of Mathematics 2 Nonlinear Boundary Value Problems 2 Differentsial’nye i Integral’nye Uravneniya 1 Matematicheskie Zametki 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Izvestiya Akademii Nauk UzSSR. Seriya Fiziko-Matematicheskikh Nauk 1 Revista Colombiana de Matemáticas 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Soviet Mathematics 1 Acta Applicandae Mathematicae 1 Differential and Integral Equations 1 Mathematics of the USSR, Sbornik 1 Russian Mathematics 1 Russian Academy of Sciences. Doklady. Mathematics 1 Journal of Mathematical Sciences (New York) 1 Differential Equations and Dynamical Systems 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Journal of Dynamical and Control Systems 1 Trudy Srednevolzhskogo Matematicheskogo Obshchestva 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Mathematics and its Applications (Dordrecht) 1 World Scientific Series on Nonlinear Science. Series A 1 Banach Journal of Mathematical Analysis 1 Applied and Computational Mathematics 1 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva all top 5 Fields 59 Operator theory (47-XX) 31 Partial differential equations (35-XX) 25 Integral equations (45-XX) 24 Numerical analysis (65-XX) 23 Ordinary differential equations (34-XX) 15 Global analysis, analysis on manifolds (58-XX) 7 Functional analysis (46-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 History and biography (01-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 3 Systems theory; control (93-XX) 2 Difference and functional equations (39-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 75 Publications have been cited 327 times in 159 Documents Cited by ▼ Year ▼ Differential inclusions in a Banach space. Ed. by N. A. Sidorov. (Дифферентиалъные включения в банаховом пространстве.) Zbl 0689.34014 Tolstonogov, A. A. 67 1986 Lyapunov-Schmidt methods in nonlinear analysis and applications. Zbl 1027.47001 Sidorov, N.; Loginov, B.; Sinitsyn, A.; Falaleev, M. 59 2002 On the solvability of a class of Volterra operator equations of the first kind with piecewise continuous kernels. Zbl 1328.47015 Sidorov, N. A.; Sidorov, D. N. 13 2014 Bijective and general arithmetic codings for Pisot toral automorphisms. Zbl 1134.37313 Sidorov, N. A. 13 2001 General regularization questions in problems of bifurcation theory. (Obshchie voprosy regulyarizatsii v zadachakh teorii vetvleniya). Zbl 0703.58002 Sidorov, N. A. 13 1982 Differential equations with a Fredholm operator in the leading differential expression. Zbl 0789.35161 Sidorov, N. A.; Blagodatskaya, E. B. 11 1991 Convex majorants method in the theory of nonlinear Volterra equations. Zbl 1246.45004 Sidorov, Denis N.; Sidorov, Nikolai A. 11 2012 Control of accuracy of Taylor-collocation method to solve the weakly regular Volterra integral equations of the first kind by using the CESTAC method. Zbl 1463.65432 Noeiaghdam, S.; Sidorov, D.; Sizikov, V.; Sidorov, N. 10 2020 Steady-state solutions of the Vlasov-Maxwell system and their stability. Zbl 0761.35108 Markov, Y.; Rudykh, G.; Sidorov, N.; Sinitsyn, A.; Tolstonogov, D. 8 1992 Existence and construction of generalized solutions of nonlinear Volterra integral equations of the first kind. Zbl 1136.45006 Sidorov, N. A.; Sidorov, D. N. 8 2006 Solution of irregular systems of partial differential equations using skeleton decomposition of linear operators. Zbl 1378.35332 Sidorov, Denis Nikolaevich; Sidorov, Nikolaĭ Aleksandrovich 8 2017 Generalized solution of differential equations with a Fredholm operator at the derivative. Zbl 0618.34015 Sidorov, N. A.; Falaleev, M. V. 8 1987 Group symmetry of the Lyapunov-Schmidt branching equation and iterative methods in the problem of a bifurcation point. Zbl 0807.58008 Loginov, B. V.; Sidorov, N. A. 7 1992 A class of degenerate differential equations with convergence. Zbl 0555.34008 Sidorov, N. A. 7 1984 Application of branching theory in the solution of differential equations with degeneration. Zbl 0544.34034 Sidorov, N. A.; Romanova, O. A. 7 1983 Lösung des Cauchyschen Problems für eine Klasse von Integrodifferentialgleichungen mit analytischen Nichtlinearitäten. Zbl 0167.11802 Sidorov, N. A. 7 1968 Toward general theory of differential-operator and kinetic models. Zbl 1477.47001 Sidorov, Nikolay; Sidorov, Denis; Sinitsyn, Alexander 7 2020 Solution of Volterra operator-integral equations in the nonregular case by the successive approximation method. Zbl 1214.45006 Sidorov, N. A.; Sidorov, D. N.; Krasnik, A. V. 6 2010 Generalized solutions of Volterra integral equations of the first kind. Zbl 1132.45003 Sidorov, Nikolai A.; Falaleev, Michail V.; Sidorov, Denis N. 6 2006 On a class of degenerate differential equations with convergence. Zbl 0544.34010 Sidorov, N. A. 6 1984 Explicit and implicit parametrizations in the construction of branching solutions by iterative methods. Zbl 0856.65058 Sidorov, N. A. 6 1995 Solving the Hammerstein integral equation in the irregular case by successive approximations. Zbl 1248.45004 Sidorov, N. A.; Sidorov, D. N. 5 2010 On small solutions of nonlinear equations with vector parameter in sectorial neighborhoods. Zbl 1303.47080 Sidorov, N. A.; Leont’ev, R. Yu.; Dreglya, A. I. 5 2012 Integral equations in identification of external force and heat source density dynamics. Zbl 1427.35352 Dreglea, Aliona I.; Sidorov, Nikolay A. 5 2018 Small solutions of nonlinear differential equations near branching points. Zbl 1235.34031 Sidorov, N. A.; Sidorov, D. N. 4 2011 Nonlinear operator equations with a functional perturbation of the argument of neutral type. Zbl 1189.47059 Sidorov, N. A.; Trufanov, A. V. 4 2009 The stationary Vlasov-Maxwell system in bounded domains. Zbl 1095.35050 Sidorov, N. A.; Sinitsyn, A. V. 4 2003 On perturbation method for the first kind equations: regularization and application. Zbl 1342.47018 Muftahov, I. R.; Sidorov, D. N.; Sidorov, N. A. 4 2015 Lavrentiev regularization of integral equations of the first kind in the space of continuous functions. Zbl 1348.45001 Muftahov, Il’dar Rinatovich; Sidorov, Denis Nikolaevich; Sidorov, Nikolaĭ Aleksandrovich 4 2016 The Tikhonov regularization of a problem on bifurcation points of nonlinear operators. Zbl 0354.47027 Trenogin, V. A.; Sidorov, N. A. 3 1976 A certain approach to the problem of regularization on the basis of the perturbation of linear operators. Zbl 0359.65049 Sidorov, N. A.; Trenogin, V. A. 3 1976 Partial differential equations with an operator of finite index at the principal part. Zbl 0826.35023 Sidorov, N. A.; Romanova, O. A.; Blagodatskaya, E. B. 3 1994 Continuous and generalized solutions of singular integro-differential equations in Banach spaces. Zbl 1347.35177 Sidorov, N. A.; Falaleev, M. V. 3 2012 Generalized solutions in the problem of dynamical systems modeling by Volterra polynomials. Zbl 1229.93033 Sidorov, D. N.; Sidorov, N. A. 3 2011 Book review of: N. A. Sidorov et al., Toward general theory of differential-operator and kinetic models. Zbl 1484.00068 Sidorov, N. A.; Sidorov, D. N.; Sinitsyn, A. V. 3 2020 Development of M. K. Gavurin’s pseudoperturbation method. Zbl 0974.47015 Loginov, B. V.; Rakhimov, D. G.; Sidorov, N. A. 2 2000 Minimal braches of nonlinear equation solutions and asymptotic regularizator. Zbl 1107.47307 Sidorov, N. A. 2 2004 Generalized solutions of nonlinear integral-functional equations. Zbl 1120.45002 Sidorov, N. A.; Trufanov, A. V.; Sidorov, D. N. 2 2006 Regularization of the computation of real solutions of nonlinear equations in the neighborhood of a branch point. Zbl 0356.65047 Sidorov, N. A.; Trenogin, V. A. 2 1976 Regularization of simple solutions of nonlinear equations in the neighborhood of a branching point. Zbl 0438.47063 Trenogin, V. A.; Sidorov, N. A. 2 1978 Parametrization of simple branching solutions of full rank and iterations in nonlinear analysis. Zbl 1002.47042 Sidorov, N. A. 2 2001 Interlaced branching equations in the theory of nonlinear equations. Zbl 1023.47044 Sidorov, N. A.; Abdullin, V. R. 2 2001 On the construction of the trajectory of a dynamical system with initial data on the hyperplanes. Zbl 1351.34074 Romanova, Olga Aleksandrovna; Sidorov, Nikolay Aleksandrovich 2 2015 Perturbation theory and the Banach-Steinhaus theorem for regularization of the linear equations of the first kind. Zbl 1358.47008 Sidorov, Nikolaĭ Aleksandrovich; Sidorov, Denis Nikolaevich; Muftahov, Ildar Rinatovich 2 2015 Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system. Zbl 1371.35037 Rendón, Leonardo; Sinitsyn, Alexandre V.; Sidorov, Nikolai A. 2 2016 Successive approximations to the solutions to nonlinear equations with a vector parameter in a nonregular case. Zbl 1324.47107 Sidorov, N. A.; Sidorov, D. N.; Leont’ev, R. Yu. 2 2012 Nonlinear Volterra equations with loads and bifurcation parameters: existence theorems and construction of solutions. Zbl 1486.45003 Sidorov, N. A.; Sidorov, D. N. 2 2021 Classic solutions of boundary value problems for partial differential equations with operator of finite index in the main part of equation. Zbl 1423.35073 Sidorov, Nikolaĭ Aleksandrovich 2 2019 Asymptotics and iterations in a neighborhood of branch points of a solution of nonlinear equations. Zbl 0806.65053 Sidorov, N. A.; Tolstonogov, D. A. 1 1992 Existence of stationary solutions of Vlasov-Maxwell equations and some of their exact solutions. Zbl 0969.35560 Markov, Yu. A.; Rudykh, G. A.; Sidorov, N. A.; Sinitsyn, A. V. 1 1989 Existence theorems for bifurcation in the presence of one generalized Jordan chain of odd length. Zbl 1002.47501 Loginov, B. V.; Sidorov, N. A.; Rusak, Yu. B. 1 1997 Analysis of bifurcation points and nontrivial branches of solutions to the stationary Vlasov-Maxwell system. Zbl 0921.35010 Sidorov, N. A.; Sinitsyn, A. V. 1 1997 Branching solutions of nonlinear differential equations of \(n\)-th order. Zbl 1270.34015 Sidorov, Nikolaĭ Aleksandrovich; Sidorov, Denis Nikolaevich 1 2010 Generalized solutions to integral equations in the problem of identification of nonlinear dynamic models. Zbl 1181.93025 Sidorov, N. A.; Sidorov, D. N. 1 2009 Bifurcation points of solutions of nonlinear equations. Zbl 1098.47053 Sidorov, N. A.; Trenogin, V. A. 1 2003 Solutions structure for linear operator equations with functional perturbation of argument. Zbl 1150.34593 Sidorov, N. A.; Trufanov, A. V. 1 2006 Calculation of eigenvalues and eigenvectors of bounded operators by the false-perturbation method. Zbl 0333.47008 Loginov, B. V.; Sidorov, N. A. 1 1976 On regularization of linear differential equations with constant operators in the degenerate case. Zbl 0393.34004 Sidorov, N. A. 1 1978 Continuous and generalized solutions of singular partial differential equations. Zbl 1115.35142 Falaleev, M. V.; Sidorov, N. A. 1 2005 Generalized solutions of Volterra integral equations of the first kind. Zbl 1113.45002 Falaleev, M. V.; Sidorov, N. A.; Sidorov, D. N. 1 2005 A family of solutions to the Vlasov-Maxwell system and their stability. Zbl 0972.82562 Markov, Y. A.; Rudykh, G. A.; Sidorov, N. A.; Sinitsyn, A. V. 1 1990 On the role of convex majorants in nonlocal existence theorems of implicit functions. Preprint No. 3. (O roli vypuklykh mazhorant v nelokal’nykh teoremakh sushchestvovaniya neyavnykh funktsij.) Zbl 0934.58009 Sidorov, N. A.; Markanova, D. Yu.; Abdullin, V. R. 1 1998 Cauchyproblem für eine Klasse von Differentialgleichungen. Zbl 0247.34067 Sidorov, N. A. 1 1972 On explicit parametrization of solutions to nonlinear equations in the neighborhood of a branching point. Zbl 0862.47046 Sidorov, N. A. 1 1994 Bifurcation, potentiality, group-theoretical and iterative methods. Zbl 0889.47033 Trenogin, V. A.; Sidorov, N. A.; Loginov, B. V. 1 1996 Über die Regularisierung des Problems der Bifurkationspunkte nichtlinearer Operatoren nach Tihonov. Zbl 0329.47027 Trenogin, V. A.; Sidorov, N. A. 1 1976 Untersuchung stetiger Lösungen des Cauchyproblems in der Umgebung eines Verzweigungspunktes. Zbl 0358.34002 Sidorov, N. A. 1 1976 Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system. Zbl 1335.47040 Sidorov, Nikolaj Aleksandrovich 1 2013 Method of monotone majorants of the theory of nonlinear Volterra equations. Zbl 1272.45006 Sidorov, Denis Nikolaevich; Sidorov, Nikolaĭ Aleksandrovich 1 2011 An uniformization and successive approximation of solutions of nonlinear equations with vector parameter. Zbl 1368.47043 Leontyev, Roman Yuryevich; Sidorov, Nikolay Aleksandrovich 1 2011 Potentially, group symmetry and bifurcation in the theory of branching equation. Zbl 0729.47060 Trenogin, V. A.; Sidorov, N. A.; Loginov, B. V. 1 1990 An \(N\)-step iterative method in the theory of the branching of solutions of nonlinear equations. Zbl 1042.47528 Sidorov, N. A. 1 1997 The identification of external force dynamics in the modeling of vibration. Zbl 1377.35286 Dregleya, Alena Ivanovna; Sidorov, Nikolaĭ Aleksandrovich 1 2017 Areas of attraction of equilibrium points of nonlinear systems: stability, branching and blow-up of solutions. Zbl 1409.34058 Sidorov, Nikolaĭ Aleksandrovich; Sidorov, Denis Nikolaevich; Li, Yong 1 2018 On the solution of Hammerstein integral equations with loads and bifurcation parameters. Zbl 1512.45004 Sidorov, Nikolai A.; Dreglea Sidorov, Lev Ryan D. 1 2023 On the solution of Hammerstein integral equations with loads and bifurcation parameters. Zbl 1512.45004 Sidorov, Nikolai A.; Dreglea Sidorov, Lev Ryan D. 1 2023 Nonlinear Volterra equations with loads and bifurcation parameters: existence theorems and construction of solutions. Zbl 1486.45003 Sidorov, N. A.; Sidorov, D. N. 2 2021 Control of accuracy of Taylor-collocation method to solve the weakly regular Volterra integral equations of the first kind by using the CESTAC method. Zbl 1463.65432 Noeiaghdam, S.; Sidorov, D.; Sizikov, V.; Sidorov, N. 10 2020 Toward general theory of differential-operator and kinetic models. Zbl 1477.47001 Sidorov, Nikolay; Sidorov, Denis; Sinitsyn, Alexander 7 2020 Book review of: N. A. Sidorov et al., Toward general theory of differential-operator and kinetic models. Zbl 1484.00068 Sidorov, N. A.; Sidorov, D. N.; Sinitsyn, A. V. 3 2020 Classic solutions of boundary value problems for partial differential equations with operator of finite index in the main part of equation. Zbl 1423.35073 Sidorov, Nikolaĭ Aleksandrovich 2 2019 Integral equations in identification of external force and heat source density dynamics. Zbl 1427.35352 Dreglea, Aliona I.; Sidorov, Nikolay A. 5 2018 Areas of attraction of equilibrium points of nonlinear systems: stability, branching and blow-up of solutions. Zbl 1409.34058 Sidorov, Nikolaĭ Aleksandrovich; Sidorov, Denis Nikolaevich; Li, Yong 1 2018 Solution of irregular systems of partial differential equations using skeleton decomposition of linear operators. Zbl 1378.35332 Sidorov, Denis Nikolaevich; Sidorov, Nikolaĭ Aleksandrovich 8 2017 The identification of external force dynamics in the modeling of vibration. Zbl 1377.35286 Dregleya, Alena Ivanovna; Sidorov, Nikolaĭ Aleksandrovich 1 2017 Lavrentiev regularization of integral equations of the first kind in the space of continuous functions. Zbl 1348.45001 Muftahov, Il’dar Rinatovich; Sidorov, Denis Nikolaevich; Sidorov, Nikolaĭ Aleksandrovich 4 2016 Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system. Zbl 1371.35037 Rendón, Leonardo; Sinitsyn, Alexandre V.; Sidorov, Nikolai A. 2 2016 On perturbation method for the first kind equations: regularization and application. Zbl 1342.47018 Muftahov, I. R.; Sidorov, D. N.; Sidorov, N. A. 4 2015 On the construction of the trajectory of a dynamical system with initial data on the hyperplanes. Zbl 1351.34074 Romanova, Olga Aleksandrovna; Sidorov, Nikolay Aleksandrovich 2 2015 Perturbation theory and the Banach-Steinhaus theorem for regularization of the linear equations of the first kind. Zbl 1358.47008 Sidorov, Nikolaĭ Aleksandrovich; Sidorov, Denis Nikolaevich; Muftahov, Ildar Rinatovich 2 2015 On the solvability of a class of Volterra operator equations of the first kind with piecewise continuous kernels. Zbl 1328.47015 Sidorov, N. A.; Sidorov, D. N. 13 2014 Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system. Zbl 1335.47040 Sidorov, Nikolaj Aleksandrovich 1 2013 Convex majorants method in the theory of nonlinear Volterra equations. Zbl 1246.45004 Sidorov, Denis N.; Sidorov, Nikolai A. 11 2012 On small solutions of nonlinear equations with vector parameter in sectorial neighborhoods. Zbl 1303.47080 Sidorov, N. A.; Leont’ev, R. Yu.; Dreglya, A. I. 5 2012 Continuous and generalized solutions of singular integro-differential equations in Banach spaces. Zbl 1347.35177 Sidorov, N. A.; Falaleev, M. V. 3 2012 Successive approximations to the solutions to nonlinear equations with a vector parameter in a nonregular case. Zbl 1324.47107 Sidorov, N. A.; Sidorov, D. N.; Leont’ev, R. Yu. 2 2012 Small solutions of nonlinear differential equations near branching points. Zbl 1235.34031 Sidorov, N. A.; Sidorov, D. N. 4 2011 Generalized solutions in the problem of dynamical systems modeling by Volterra polynomials. Zbl 1229.93033 Sidorov, D. N.; Sidorov, N. A. 3 2011 Method of monotone majorants of the theory of nonlinear Volterra equations. Zbl 1272.45006 Sidorov, Denis Nikolaevich; Sidorov, Nikolaĭ Aleksandrovich 1 2011 An uniformization and successive approximation of solutions of nonlinear equations with vector parameter. Zbl 1368.47043 Leontyev, Roman Yuryevich; Sidorov, Nikolay Aleksandrovich 1 2011 Solution of Volterra operator-integral equations in the nonregular case by the successive approximation method. Zbl 1214.45006 Sidorov, N. A.; Sidorov, D. N.; Krasnik, A. V. 6 2010 Solving the Hammerstein integral equation in the irregular case by successive approximations. Zbl 1248.45004 Sidorov, N. A.; Sidorov, D. N. 5 2010 Branching solutions of nonlinear differential equations of \(n\)-th order. Zbl 1270.34015 Sidorov, Nikolaĭ Aleksandrovich; Sidorov, Denis Nikolaevich 1 2010 Nonlinear operator equations with a functional perturbation of the argument of neutral type. Zbl 1189.47059 Sidorov, N. A.; Trufanov, A. V. 4 2009 Generalized solutions to integral equations in the problem of identification of nonlinear dynamic models. Zbl 1181.93025 Sidorov, N. A.; Sidorov, D. N. 1 2009 Existence and construction of generalized solutions of nonlinear Volterra integral equations of the first kind. Zbl 1136.45006 Sidorov, N. A.; Sidorov, D. N. 8 2006 Generalized solutions of Volterra integral equations of the first kind. Zbl 1132.45003 Sidorov, Nikolai A.; Falaleev, Michail V.; Sidorov, Denis N. 6 2006 Generalized solutions of nonlinear integral-functional equations. Zbl 1120.45002 Sidorov, N. A.; Trufanov, A. V.; Sidorov, D. N. 2 2006 Solutions structure for linear operator equations with functional perturbation of argument. Zbl 1150.34593 Sidorov, N. A.; Trufanov, A. V. 1 2006 Continuous and generalized solutions of singular partial differential equations. Zbl 1115.35142 Falaleev, M. V.; Sidorov, N. A. 1 2005 Generalized solutions of Volterra integral equations of the first kind. Zbl 1113.45002 Falaleev, M. V.; Sidorov, N. A.; Sidorov, D. N. 1 2005 Minimal braches of nonlinear equation solutions and asymptotic regularizator. Zbl 1107.47307 Sidorov, N. A. 2 2004 The stationary Vlasov-Maxwell system in bounded domains. Zbl 1095.35050 Sidorov, N. A.; Sinitsyn, A. V. 4 2003 Bifurcation points of solutions of nonlinear equations. Zbl 1098.47053 Sidorov, N. A.; Trenogin, V. A. 1 2003 Lyapunov-Schmidt methods in nonlinear analysis and applications. Zbl 1027.47001 Sidorov, N.; Loginov, B.; Sinitsyn, A.; Falaleev, M. 59 2002 Bijective and general arithmetic codings for Pisot toral automorphisms. Zbl 1134.37313 Sidorov, N. A. 13 2001 Parametrization of simple branching solutions of full rank and iterations in nonlinear analysis. Zbl 1002.47042 Sidorov, N. A. 2 2001 Interlaced branching equations in the theory of nonlinear equations. Zbl 1023.47044 Sidorov, N. A.; Abdullin, V. R. 2 2001 Development of M. K. Gavurin’s pseudoperturbation method. Zbl 0974.47015 Loginov, B. V.; Rakhimov, D. G.; Sidorov, N. A. 2 2000 On the role of convex majorants in nonlocal existence theorems of implicit functions. Preprint No. 3. (O roli vypuklykh mazhorant v nelokal’nykh teoremakh sushchestvovaniya neyavnykh funktsij.) Zbl 0934.58009 Sidorov, N. A.; Markanova, D. Yu.; Abdullin, V. R. 1 1998 Existence theorems for bifurcation in the presence of one generalized Jordan chain of odd length. Zbl 1002.47501 Loginov, B. V.; Sidorov, N. A.; Rusak, Yu. B. 1 1997 Analysis of bifurcation points and nontrivial branches of solutions to the stationary Vlasov-Maxwell system. Zbl 0921.35010 Sidorov, N. A.; Sinitsyn, A. V. 1 1997 An \(N\)-step iterative method in the theory of the branching of solutions of nonlinear equations. Zbl 1042.47528 Sidorov, N. A. 1 1997 Bifurcation, potentiality, group-theoretical and iterative methods. Zbl 0889.47033 Trenogin, V. A.; Sidorov, N. A.; Loginov, B. V. 1 1996 Explicit and implicit parametrizations in the construction of branching solutions by iterative methods. Zbl 0856.65058 Sidorov, N. A. 6 1995 Partial differential equations with an operator of finite index at the principal part. Zbl 0826.35023 Sidorov, N. A.; Romanova, O. A.; Blagodatskaya, E. B. 3 1994 On explicit parametrization of solutions to nonlinear equations in the neighborhood of a branching point. Zbl 0862.47046 Sidorov, N. A. 1 1994 Steady-state solutions of the Vlasov-Maxwell system and their stability. Zbl 0761.35108 Markov, Y.; Rudykh, G.; Sidorov, N.; Sinitsyn, A.; Tolstonogov, D. 8 1992 Group symmetry of the Lyapunov-Schmidt branching equation and iterative methods in the problem of a bifurcation point. Zbl 0807.58008 Loginov, B. V.; Sidorov, N. A. 7 1992 Asymptotics and iterations in a neighborhood of branch points of a solution of nonlinear equations. Zbl 0806.65053 Sidorov, N. A.; Tolstonogov, D. A. 1 1992 Differential equations with a Fredholm operator in the leading differential expression. Zbl 0789.35161 Sidorov, N. A.; Blagodatskaya, E. B. 11 1991 A family of solutions to the Vlasov-Maxwell system and their stability. Zbl 0972.82562 Markov, Y. A.; Rudykh, G. A.; Sidorov, N. A.; Sinitsyn, A. V. 1 1990 Potentially, group symmetry and bifurcation in the theory of branching equation. Zbl 0729.47060 Trenogin, V. A.; Sidorov, N. A.; Loginov, B. V. 1 1990 Existence of stationary solutions of Vlasov-Maxwell equations and some of their exact solutions. Zbl 0969.35560 Markov, Yu. A.; Rudykh, G. A.; Sidorov, N. A.; Sinitsyn, A. V. 1 1989 Generalized solution of differential equations with a Fredholm operator at the derivative. Zbl 0618.34015 Sidorov, N. A.; Falaleev, M. V. 8 1987 Differential inclusions in a Banach space. Ed. by N. A. Sidorov. (Дифферентиалъные включения в банаховом пространстве.) Zbl 0689.34014 Tolstonogov, A. A. 67 1986 A class of degenerate differential equations with convergence. Zbl 0555.34008 Sidorov, N. A. 7 1984 On a class of degenerate differential equations with convergence. Zbl 0544.34010 Sidorov, N. A. 6 1984 Application of branching theory in the solution of differential equations with degeneration. Zbl 0544.34034 Sidorov, N. A.; Romanova, O. A. 7 1983 General regularization questions in problems of bifurcation theory. (Obshchie voprosy regulyarizatsii v zadachakh teorii vetvleniya). Zbl 0703.58002 Sidorov, N. A. 13 1982 Regularization of simple solutions of nonlinear equations in the neighborhood of a branching point. Zbl 0438.47063 Trenogin, V. A.; Sidorov, N. A. 2 1978 On regularization of linear differential equations with constant operators in the degenerate case. Zbl 0393.34004 Sidorov, N. A. 1 1978 The Tikhonov regularization of a problem on bifurcation points of nonlinear operators. Zbl 0354.47027 Trenogin, V. A.; Sidorov, N. A. 3 1976 A certain approach to the problem of regularization on the basis of the perturbation of linear operators. Zbl 0359.65049 Sidorov, N. A.; Trenogin, V. A. 3 1976 Regularization of the computation of real solutions of nonlinear equations in the neighborhood of a branch point. Zbl 0356.65047 Sidorov, N. A.; Trenogin, V. A. 2 1976 Calculation of eigenvalues and eigenvectors of bounded operators by the false-perturbation method. Zbl 0333.47008 Loginov, B. V.; Sidorov, N. A. 1 1976 Über die Regularisierung des Problems der Bifurkationspunkte nichtlinearer Operatoren nach Tihonov. Zbl 0329.47027 Trenogin, V. A.; Sidorov, N. A. 1 1976 Untersuchung stetiger Lösungen des Cauchyproblems in der Umgebung eines Verzweigungspunktes. Zbl 0358.34002 Sidorov, N. A. 1 1976 Cauchyproblem für eine Klasse von Differentialgleichungen. Zbl 0247.34067 Sidorov, N. A. 1 1972 Lösung des Cauchyschen Problems für eine Klasse von Integrodifferentialgleichungen mit analytischen Nichtlinearitäten. Zbl 0167.11802 Sidorov, N. A. 7 1968 all cited Publications top 5 cited Publications all top 5 Cited by 142 Authors 32 Sidorov, Nikolaĭ Aleksandrovich 25 Sidorov, Denis Nikolaevich 9 Falaleev, Mikhail Valentinovich 9 Loginov, Boris Vladimirovich 8 Sviridyuk, Georgiĭ Anatol’evich 7 Yuldashev, Tursun Kamaldinovich 6 Noeiaghdam, Samad 5 Kim-Tyan, Luiza Revmirovna 5 Kosov, Aleksandr Arkad’evich 5 Plekhanova, Marina Vasil’evna 5 Semenov, Edward Ivanovich 5 Sinitsyn, Aleksandr Vladimirovich 4 Dreglea, Aliona I. 4 Fëdorov, Vladimir Evgen’evich 4 Muftahov, Ildar Rinatovich 4 Rusak, Yuriĭ Borisovich 3 Amirkhizi, Simin Aghaei 3 Chistyakov, Viktor Filimonovich 3 Fariborzi Araghi, Mohammad Ali 3 Leont’ev, Roman Yur’evich 3 Mahmoudi, Yaghoub 3 Shamloo, Ali Salimi 3 Tirskikh, Vladimir Viktorovich 3 Trenogin, Vladilen Aleksandrovich 3 Zagrebina, Sof’ya Aleksandrovna 3 Zarifzoda, Sarvar K. 2 Barge, Marcy M. 2 Barseghyan, Vanya Rafaelovich 2 Baybulatova, Guzel D. 2 Berthé, Valérie 2 Braasch, Peter 2 Dreglea Sidorov, Lev Ryan D. 2 Gentile, Guido 2 Hare, Kevin G. 2 Keller, Alevtina Viktorovna 2 Kostić, Marko 2 Li, Yong 2 Mischaikow, Konstantin 2 Morozov, Vladimir Alekseevich 2 Mukhamadiev, Èrgashboĭ Mirzoevich 2 Nazimov, Akbar Bagadurovich 2 Rakhimov, Davran Ganiyevich 2 Romanova, Olga Aleksandrovna 2 Sagadeeva, Minzilya Almasovna 2 Schmidt, Klaus 2 Sidorov, Nikita A. 2 Soldatova, Ekaterina Aleksandrovna 2 Sukacheva, Tamara Gennad’evna 2 Tynda, Alexander N. 2 Vaia, Faenia 2 Wanner, Thomas 2 Zamyshlyaeva, Alena Aleksandrovna 1 Abbasbandy, Saeid 1 Abdullozhonova, A. N. 1 Akiyama, Shigeki 1 Al’shansky, M. A. 1 Ankilov, Andreĭ Vladimirovich 1 Apartsin, Anatoliĭ Solomonovich 1 Assari, Pouria 1 Avilovich, Anna Sergeevna 1 Baker, Veronica 1 Barat, Guy 1 Belbas, Stavros A. 1 Borel, Lidiya Viktorovna 1 Bulatov, Mikhail Valer’yanovich 1 Bulka, Yuriy 1 Buranay, Suzan Cival 1 Bychkov, Evgeniĭ Viktorovich 1 Cardone, Angelamaria 1 Chistyakova, Elena Viktorovna 1 Clark, Alex 1 Clark, Lyndsey 1 Conte, Dajana 1 D’Ambrosio, Raffaele 1 Dehghan Takht Fooladi, Mehdi 1 Desyaev, Evgeniĭ Vasil’evich 1 Diep, Nguyen Khac 1 Djaidja, Noui 1 Djumakhon, I. 1 Dregleya, Alena Ivanovna 1 Dreglya, Alena Ivanovna 1 Ehrenstein, Uwe 1 Falahhesar, S. S. 1 Favini, Angelo 1 Fayziyev, A. K. 1 Fokkink, Robbert Johan 1 Gavrilova, Ol’ga Vital’evna 1 Grabner, Peter J. 1 Guo, Haimo 1 Karamova, A. F. 1 Kasyanov, Pavlo O. 1 Khachatryan, Khachatur Aghavardovich 1 Kilichev, O. Sh. 1 Kondyukov, Alekseĭ Olegovich 1 Konopleva, Irìna Viktorovna 1 Krasnik, A. V. 1 Kwapisz, Jaroslaw 1 Liardet, Pierre 1 Lindenstrauss, Elon 1 Liskovets, Oleg Anisimovich ...and 42 more Authors all top 5 Cited in 64 Serials 23 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 13 Differential Equations 8 Siberian Mathematical Journal 8 Russian Mathematics 7 Journal of Mathematical Sciences (New York) 7 Lobachevskii Journal of Mathematics 6 Mathematical Notes 6 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 4 Mathematical Methods in the Applied Sciences 3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 3 Automation and Remote Control 3 Nonlinear Analysis. Theory, Methods & Applications 2 Annales de l’Institut Fourier 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Journal of Number Theory 2 Topology and its Applications 2 The Annals of Applied Probability 2 Computational Mathematics and Mathematical Physics 2 Indagationes Mathematicae. New Series 2 Buletinul Academiei de Științe a Republicii Moldova. Matematica 2 Doklady Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Computational Methods for Differential Equations 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Nonlinearity 1 Journal of Differential Equations 1 Journal of Soviet Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Ergodic Theory and Dynamical Systems 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 SIAM Journal on Mathematical Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Electronic Journal of Differential Equations (EJDE) 1 Discrete and Continuous Dynamical Systems 1 Differential Equations and Dynamical Systems 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Trudy Instituta Matematiki 1 Communications on Pure and Applied Analysis 1 Cubo 1 Complex Variables and Elliptic Equations 1 Nonlinear Oscillations 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Banach Journal of Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Azerbaijan Journal of Mathematics 1 Numerical Algebra, Control and Optimization 1 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 1 Axioms 1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 1 Journal of Computational and Engineering Mathematics 1 Journal of Siberian Federal University. Mathematics & Physics 1 Ural Mathematical Journal 1 Mechanics of Solids all top 5 Cited in 35 Fields 49 Integral equations (45-XX) 42 Partial differential equations (35-XX) 41 Operator theory (47-XX) 38 Ordinary differential equations (34-XX) 28 Numerical analysis (65-XX) 20 Dynamical systems and ergodic theory (37-XX) 9 Fluid mechanics (76-XX) 6 Functional analysis (46-XX) 6 Probability theory and stochastic processes (60-XX) 6 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Number theory (11-XX) 5 Measure and integration (28-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Real functions (26-XX) 3 Approximations and expansions (41-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 3 Systems theory; control (93-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.