## Moiseev, Evgeniĭ Ivanovich

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 Author ID: moiseev.evgeny-ivanovich Published as: Moiseev, E. I.; Moiseev, Evgeny I.; Moiseev, E.; Moiseev, Evgeniĭ Ivanovich; Moiseev, Evgeny Ivanovich; Moiseev, Evgeniy more...less Further Spellings: Моисеев Евгений Иванович External Links: ORCID · Wikidata · Math-Net.Ru
 Documents Indexed: 232 Publications since 1970, including 3 Books Biographic References: 2 Publications Co-Authors: 178 Co-Authors with 159 Joint Publications 4,864 Co-Co-Authors
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### Serials

 64 Differential Equations 44 Differential Equations 24 Doklady Mathematics 17 Integral Transforms and Special Functions 15 Differentsial’nye Uravneniya 15 Soviet Mathematics. Doklady 8 Russian Mathematical Surveys 4 Mathematical Notes 4 Lobachevskii Journal of Mathematics 2 Computational Mathematics and Modeling 2 Automation and Remote Control 2 Vestnik Moskovskogo Universiteta. Seriya 15 2 Bulletin of the Polish Academy of Sciences, Mathematics 2 Russian Academy of Sciences. Doklady. Mathematics 2 Journal of Mathematical Sciences (New York) 2 Matematicheskoe Modelirovanie 1 Computers & Mathematics with Applications 1 Matematicheskie Zametki 1 Journal of Computational and Applied Mathematics 1 Mathematica Slovaca 1 Moscow University Computational Mathematics and Cybernetics 1 Computational Mathematics and Mathematical Physics 1 Soviet Physics. Doklady 1 Vestnik Belorusskogo Gosudarstvennogo Universiteta. Seria 1. Fizika, Matematika, Informatika 1 Reviews in Mathematics and Mathematical Physics 1 Fractional Calculus & Applied Analysis 1 Proceedings of the Steklov Institute of Mathematics 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Sibirskiĭ Zhurnal Chistoĭ i Prikladnoĭ Matematiki
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### Fields

 157 Partial differential equations (35-XX) 33 Mechanics of deformable solids (74-XX) 31 History and biography (01-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 25 Ordinary differential equations (34-XX) 17 Special functions (33-XX) 15 Systems theory; control (93-XX) 11 Operator theory (47-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Functional analysis (46-XX) 6 Mechanics of particles and systems (70-XX) 6 Fluid mechanics (76-XX) 5 Numerical analysis (65-XX) 4 Functions of a complex variable (30-XX) 4 Relativity and gravitational theory (83-XX) 2 Potential theory (31-XX) 2 Integral transforms, operational calculus (44-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

144 Publications have been cited 900 times in 653 Documents Cited by Year
Nonlocal boundary-value problem of the second kind for a Sturm-Liouville operator. Zbl 0668.34024
Il’in, V. A.; Moiseev, E. I.
1987
Equations of mixed type with a spectral parameter. (Uravneniya smeshannogo tipa so spektral’nym parametrom.) Zbl 0653.35003
Moiseev, E. I.
1988
The basis property in $$L_p$$ of the system of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition. Zbl 1005.34075
Kapustin, N. Yu.; Moiseev, E. I.
2000
Über ein Problem für die Wärmeleitungsgleichung mit zweipunktigen Randbedingungen. Zbl 0415.35032
Ionkin, N. I.; Moiseev, E. I.
1979
On basis property of a sinus system. Zbl 0645.42014
Moiseev, E. I.
1987
Optimization of boundary controls of string vibrations. Zbl 1145.35338
Il’in, V. A.; Moiseev, E. I.
2005
On the basis property of systems of sines and cosines. Zbl 0587.42006
Moiseev, E. I.
1984
Spectral problems with the spectral parameter in the boundary condition. Zbl 0911.34070
Kapustin, N. Yu.; Moiseev, E. I.
1997
The solution of a nonlocal boundary value problem by the spectral method. Zbl 0973.35085
Moiseev, E. I.
1999
Convergence of spectral expansions for functions of the Hölder class for two problems with a spectral parameter in the boundary condition. Zbl 0990.34071
Kapustin, N. Yu.; Moiseev, E. I.
2000
On the singularities of the root space of a spectral problem with a spectral parameter in the boundary condition. Zbl 1259.34085
Moiseev, E. I.; Kapustin, N. Yu.
2002
A remark on the convergence problem for spectral expansions corresponding to a classical problem with spectral parameter in the boundary condition. Zbl 1031.34011
Kapustin, N. Yu.; Moiseev, E. I.
2001
Two-dimensional nonlocal boundary value problem for Poisson operator in differential and difference treatments. Zbl 0993.35500
Il’in, V. A.; Moiseev, E. I.
1990
Nonlocal boundary value problem of the first kind for the Sturm-Liouville operator in the differential and difference treatments. Zbl 0636.34019
Il’in, V. A.; Moiseev, E. I.
1987
Solvability of a nonlocal boundary value problem. Zbl 1016.35021
Moiseev, E. I.
2001
Optimal boundary displacement control of string vibrations with a nonlocal oddness condition of the first kind. Zbl 1210.49021
Moiseev, E. I.; Kholomeeva, A. A.
2010
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 1131.49028
Il’in, V. A.; Moiseev, E. I.
2006
Neumann’s problem in piecewise smooth regions. Zbl 0234.35026
Moiseev, E. I.
1971
An a priori estimate of the solution of a problem associated to a nonlocal boundary value problem of first kind. Zbl 0641.34016
Il’in, V. A.; Moiseev, E. I.
1988
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 1204.49017
Il’in, V. A.; Moiseev, E. I.
2006
On the spectral problem from the theory of the parabolic-hyperbolic heat equation. Zbl 0965.34070
Kapustin, N. Yu.; Moiseev, E. I.
1997
A mean-value formula for the eigenfunctions of a second-order elliptic selfadjoint operator. Zbl 0224.35071
Moiseev, E. I.
1971
Optimization of the boundary control of string vibrations by an elastic force on an arbitrary sufficiently large time interval. Zbl 1132.49032
Il’in, V. A.; Moiseev, E. I.
2006
Classical solution of a problem with an integral condition for the one-dimensional wave equation. Zbl 1310.35152
Moiseev, E. I.; Korzyuk, V. I.; Kozlovskaya, I. S.
2014
Solvability of mixed problems for the string oscillation equation in the space $$W_{p}^{1}$$, with $$p \geq 1$$. Zbl 1247.35067
Moiseev, E. I.; Kholomeeva, A. A.
2011
Uniqueness of the solution of a mixed problem for the wave equation with nonlocal boundary conditions. Zbl 1194.35228
Il’in, V. A.; Moiseev, E. I.
2000
Analogs of the Tricomi and Frankl problems for the Lavrent’ev-Bitsadze equation in three-dimensional domains. Zbl 1316.35211
Moiseev, E. I.; Nefedov, P. V.; Kholomeeva, A. A.
2014
A mean value formula for adjoint functions of the Laplace operator. Zbl 0487.35028
Il’in, V. A.; Moiseev, E. I.
1981
An estimate of the solution of a problem for a parabolic-hyperbolic equation with the use of Fourier series. Zbl 1123.35337
Moiseev, E. I.; Kapustin, N. Yu.
2003
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 1327.49010
Il’in, V. A.; Moiseev, E. I.
2007
Solution of a Gellerstedt problem for the Lavrent’ev-Bitsadze equation. Zbl 1180.35374
Moiseev, E. I.; Taranov, N. O.
2009
Radial multipliers in solutions of the Helmholtz equations. Zbl 1407.35071
Lurie, S.; Volkov-Bogorodskiy, D.; Moiseev, E.; Kholomeeva, A.
2019
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 1148.49021
Il’in, V. A.; Moiseev, E. I.
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 1151.49003
Il’in, V. A.; Moiseev, E. I.
2007
On the solution of the Frankl problem. Zbl 0824.35016
Moiseev, E. I.
1992
Optimal boundary displacement control of string vibrations with a nonlocal evenness condition of the second kind. Zbl 1287.74017
Moiseev, E. I.; Kholomeeva, A. A.
2011
On the completeness of eigenfunctions of the Frankl problem with the oddness condition. Zbl 1152.35448
Moiseev, E. I.; Abbasi, N.
2008
The system of root functions of the directional derivative problem is not a basis. Zbl 0828.35088
Il’in, V. A.; Moiseev, E. I.
1994
Spectral characteristics of a nonlocal boundary value problem. Zbl 0844.34091
Moiseev, E. I.
1994
A mean-value formula for eigenfunctions of a second-order self-adjoint elliptic operator. Zbl 0231.35024
Moiseev, E. I.
1971
On the solvability of nonlocal boundary value problem for the Helmholtz equation with the equality of flows at the part of the boundary and its conjugated problem. Zbl 1213.35191
Moiseev, E. I.; Ambartsumyan, V. E.
2010
Tricomi problem for the Lavrent’ev-Bitsadze equation in a 3D domain. Zbl 1257.35134
Moiseev, E. I.; Nefedov, P. V.
2012
Solvability of the mixed problem for the wave equation with a dynamic boundary condition. Zbl 1259.35145
Moiseev, E. I.; Kholomeeva, A. A.
2012
On the basis property of sine and cosine systems in a weighted space. Zbl 0952.46010
Moiseev, E. I.
1998
On a spectral problem for the Laplace operator in the square with spectral parameter in the boundary condition. Zbl 1003.35103
Kapustin, N. Yu.; Moiseev, E. I.
1998
Classical and generalized solutions of problems for the telegraph equation with a Dirac potential. Zbl 1331.35012
Moiseev, E. I.; Yurchuk, N. I.
2015
On a boundary control at one end of a process described by the telegraph equation. Zbl 1146.93339
Il’in, V. A.; Moiseev, E. I.
2002
Optimization of boundary controls by displacements at two ends of a string for an arbitrary sufficiently large time interval. Zbl 1180.74042
Il’in, V. A.; Moiseev, E. I.
2007
Solution of the Tricomi problem in special domains. Zbl 0702.35179
Moiseev, E. I.
1990
Frankl problem for the Lavrent’ev-Bitsadze equation in a 3D-domain. Zbl 1273.35191
Moiseev, E. I.; Nefedov, P. V.
2013
On systems consisting of subsets of root functions of two different boundary value problems. Zbl 0819.47059
Il’in, V. A.; Moiseev, E. I.
1992
Optimization of the control by elastic boundary forces at two ends of a string in an arbitrarily large time interval. Zbl 1148.49022
Il’in, V. A.; Moiseev, E. I.
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 1144.49023
Il’in, V. A.; Moiseev, E. I.
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 1151.49005
Il’in, V. A.; Moiseev, E. I.
2007
Optimization of boundary controls by elastic boundary forces at two ends of a string during an arbitrary sufficiently large time interval $$T$$. Zbl 1151.49006
Il’in, V. A.; Moiseev, E. I.
2007
Basis property of the eigenfunctions of a generalized gasdynamic Frankl problem with a nonlocal evenness condition and with a discontinuity in the solution gradient. Zbl 1180.35386
Moiseev, E. I.; Abbasi, N.
2009
The basic property of a system of eigenfunctions of a differential operator in a weighted space. Zbl 0934.35107
Moiseev, E. I.
1999
On the existence and uniqueness of the solution of a nonclassical boundary value problem. Zbl 0836.35101
Moiseev, E. I.
1994
The system of root functions of a nonlocal boundary value problem is not a basis. Zbl 0854.35075
Moiseev, E. I.
1994
Properties of solution of Lavrent’ev-Bitsadze equation. Zbl 0453.35081
Moiseev, E. I.
1980
Location of the spectrum of a boundary-value problem with mixed boundary conditions. Zbl 0664.35062
Moiseev, E. I.
1988
Uniqueness of solution of Tricomi problem for equation of mixed type. Zbl 0616.35064
Moiseev, E. I.
1986
On the solvability of a nonlocal boundary value problem with opposite fluxes at a part of the boundary and of the adjoint problem. Zbl 1204.35077
Moiseev, E. I.; Ambartsumyan, V. E.
2010
On the basis property of the eigenfunctions of the Frankl problem with nonlocal evenness and oddness conditions of the second kind. Zbl 1206.35180
Moiseev, E. I.; Ambartsumyan, V. E.
2010
Basis properties and completeness of certain systems of elementary functions. Zbl 1182.41001
Moiseev, E. I.; Prudnikov, A. P.; Sedletskii, A. M.
2007
An upper bound on the diagonal for the spectral function of the many-dimensional Schrödinger operator with potential satisfying the Kato condition. Zbl 0946.35054
Il’in, V. A.; Moiseev, E. I.
1998
The completeness of the eigenfunctions of the Tricomi problem for the Lavrent’ev-Bitsadze equation with the Frankl gluing condition. Zbl 1364.35212
Moiseev, E. I.; Gulyaev, D. A.
2016
Optimal boundary control by a displacement in $$W'p$$ of a string with free end. Zbl 1194.93095
Moiseev, E. I.
2008
A boundary control at two ends by a process described by the telegraph equation. Zbl 1128.49022
Il’in, V. A.; Moiseev, E. I.
2004
On the Tricomi problem for the Lavrent’ev-Bitsadze equation. Zbl 0456.35059
Moiseev, E. I.
1981
Distribution of the spectrum of a Tricomi problem for the Lavrent’ev- Bitsadze equation. Zbl 0689.35059
Moiseev, E. I.
1989
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 0731.35070
Il’in, V. A.; Mal’kov, K. V.; Moiseev, E. I.
1989
An integral representation of the solution of the Darboux problem. Zbl 0525.35055
Moiseev, E. I.
1982
Basis properties of eigenfunctions of a generalized gasdynamic Frankl problem. Zbl 1245.35074
Moiseev, E. I.; Abbasi, N.
2011
Optimal boundary displacement control at one end of a string with a medium exerting resistance at the other end. Zbl 1301.49013
Moiseev, E. I.; Kholomeeva, A. A.
2013
Nonuniqueness of the solution to the interior Neumann-Gellerstedt problem for the Lavrent’ev-Bitsadze equation. Zbl 1438.35291
Moiseev, E. I.; Moiseev, T. E.; Kholomeeva, A. A.
2017
Systems of functions consistent with inhomogeneities of elliptic and spheroidal shapes in problems of continuum mechanics. Zbl 1464.74039
Volkov-Bogorodskiy, D. B.; Moiseev, E. I.
2019
Some uniqueness theorems for an equation of mixed type. Zbl 0393.35044
Moiseev, E. I.
1978
On the Tricomi problem for the Gellerstedt equation. Zbl 0429.35051
Moiseev, E. I.
1979
On the basis property of systems of sines and cosines in the Sobolev spaces. Zbl 0868.46002
Moiseev, Evgeny I.; Prudnikov, Anatoly P.
1996
Differential properties of expansions with respect to a system of sines and cosines. Zbl 0877.46005
Moiseev, E. I.
1996
A nonlocal boundary value problem for the Sturm-Liouville operator in the differential and difference treatments. Zbl 0643.34016
Il’in, V. A.; Moiseev, E. I.
1987
Problems without initial conditions for some differential equations. Zbl 1029.35004
Moiseev, E. I.; Vafodorova, G. O.
2002
On the solvability of a nonlocal boundary value problem with the equality of fluxes at a part of the boundary and of the adjoint problem. Zbl 1204.35076
Moiseev, E. I.; Ambartsumyan, V. E.
2010
A nonlocal boundary value problem for the Lavrent’ev-Bitsadze equation. Zbl 1267.35133
Moiseev, E. I.; Likhomanenko, T. N.
2012
Nikolai Alekseevich Izobov (a tribute in honor of his 70th birthday). Zbl 1191.01030
Arutyunov, 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.
2010
Basis property of eigenfunctions of the Frankl problem with a nonlocal evenness condition and with a discontinuity in the solution gradient. Zbl 1194.35285
Moiseev, E. I.; Abbasi, N.
2008
Inhomogeneous factorized second-order hyperbolic equation in a quarter of the plane with a seminonstationary factorized second directional derivative in the boundary condition. Zbl 1325.35009
Moiseev, E. I.; Lomovtsev, F. E.; Novikov, E. N.
2014
On the completeness of eigenfunctions of the Neumann-Tricomi problem for a degenerate equation of mixed type. Zbl 1131.35375
Moiseev, E. I.; Mogimi, M.
2005
On the completeness of eigenfunctions of the Tricomi problem for a degenerate equation of mixed type. Zbl 1152.35450
Moiseev, E. I.; Mogimi, M.
2005
Optimal boundary force control at one end of a string for a given displacement mode at the other end. Zbl 1251.49005
Moiseev, E. I.; Kholomeeva, A. A.
2011
Optimization of the boundary control of string vibrations in the excitation problem with a fixed endpoint in the class $$W_{2}^{2}$$. Zbl 1172.49004
Moiseev, E. I.; Kholomeeva, A. A.
2009
Basis property of eigenfunctions of the generalized gasedynamic problem of Frankl with a nonlocal oddness condition. Zbl 1191.35186
Abbasi, N.; Moiseev, E. I.
2010
Application of the separation of variables for the solution of equations of mixed type. Zbl 0725.35064
Moiseev, E. I.
1990
Eigenfunctions of the Tricomi problem with an inclined type change line. Zbl 1357.35234
Moiseev, E. I.; Likhomanenko, T. N.
2016
On an optimal boundary control problem with a dynamic boundary condition. Zbl 1273.49010
Moiseev, E. I.; Kholomeeva, A. A.
2013
Gellerstedt problem for the Lavrent’ev-Bitsadze equation in a 3D-domain. Zbl 1293.35178
Moiseev, E. I.; Nefedov, P. V.
2014
On the multiple spectrum of a problem for the Bessel equation. Zbl 1468.34036
Moiseev, E. I.; Moiseev, T. E.; Kapustin, N. Yu.
2020
On a complete orthonormal system of special functions. Zbl 0794.42020
Moiseev, E. I.; Prudnikov, A. P.
1993
Uniqueness of the solution of a nonclassical boundary value problem. Zbl 0796.35115
Moiseev, E. I.
1992
Boundary displacement control for the oscillation process with boundary conditions of damping type for a time less than critical. Zbl 1470.35224
Moiseev, E. I.; Kholomeeva, A. A.; Frolov, A. A.
2021
On the multiple spectrum of a problem for the Bessel equation. Zbl 1468.34036
Moiseev, E. I.; Moiseev, T. E.; Kapustin, N. Yu.
2020
Radial multipliers in solutions of the Helmholtz equations. Zbl 1407.35071
Lurie, S.; Volkov-Bogorodskiy, D.; Moiseev, E.; Kholomeeva, A.
2019
Systems of functions consistent with inhomogeneities of elliptic and spheroidal shapes in problems of continuum mechanics. Zbl 1464.74039
Volkov-Bogorodskiy, D. B.; Moiseev, E. I.
2019
Boundary control of string vibrations in a subcritical time under a medium resistance at the right end. Zbl 1426.49024
Moiseev, E. I.; Frolov, A. A.
2019
Nonuniqueness of the solution to the interior Neumann-Gellerstedt problem for the Lavrent’ev-Bitsadze equation. Zbl 1438.35291
Moiseev, E. I.; Moiseev, T. E.; Kholomeeva, A. A.
2017
Solvability of the Gellerstedt problem with data on parallel characteristics. Zbl 1387.35424
Moiseev, E. I.; Moiseev, T. E.; Kholomeeva, A. A.
2017
Eigenfunctions of the Gellerstedt problem with an inclined-type change line. Zbl 1437.35513
Moiseev, E. I.; Likhomanenko, T. N.
2017
The completeness of the eigenfunctions of the Tricomi problem for the Lavrent’ev-Bitsadze equation with the Frankl gluing condition. Zbl 1364.35212
Moiseev, E. I.; Gulyaev, D. A.
2016
Eigenfunctions of the Tricomi problem with an inclined type change line. Zbl 1357.35234
Moiseev, E. I.; Likhomanenko, T. N.
2016
Classical and generalized solutions of problems for the telegraph equation with a Dirac potential. Zbl 1331.35012
Moiseev, E. I.; Yurchuk, N. I.
2015
Analog of the Gellerstedt problem for the Lavrent’ev-Bitsadze equation in a 3D domain. Zbl 1327.35257
Moiseev, E. I.; Nefedov, P. V.; Kholomeeva, A. A.
2015
On an integral representation of the Neumann-Tricomi problem for the Lavrent’ev-Bitsadze equation. Zbl 1332.35070
Moiseev, E. I.; Moiseev, T. E.; Vafodorova, G. O.
2015
Classical solution of a problem with an integral condition for the one-dimensional wave equation. Zbl 1310.35152
Moiseev, E. I.; Korzyuk, V. I.; Kozlovskaya, I. S.
2014
Analogs of the Tricomi and Frankl problems for the Lavrent’ev-Bitsadze equation in three-dimensional domains. Zbl 1316.35211
Moiseev, E. I.; Nefedov, P. V.; Kholomeeva, A. A.
2014
Inhomogeneous factorized second-order hyperbolic equation in a quarter of the plane with a seminonstationary factorized second directional derivative in the boundary condition. Zbl 1325.35009
Moiseev, E. I.; Lomovtsev, F. E.; Novikov, E. N.
2014
Gellerstedt problem for the Lavrent’ev-Bitsadze equation in a 3D-domain. Zbl 1293.35178
Moiseev, E. I.; Nefedov, P. V.
2014
Frankl problem for the Lavrent’ev-Bitsadze equation in a 3D-domain. Zbl 1273.35191
Moiseev, E. I.; Nefedov, P. V.
2013
Optimal boundary displacement control at one end of a string with a medium exerting resistance at the other end. Zbl 1301.49013
Moiseev, E. I.; Kholomeeva, A. A.
2013
On an optimal boundary control problem with a dynamic boundary condition. Zbl 1273.49010
Moiseev, E. I.; Kholomeeva, A. A.
2013
On the basis property of a trigonometric system arising in the Frankl problem. Zbl 1268.35091
Moiseev, E. I.; Likhomanenko, T. N.
2013
Tricomi problem for the Lavrent’ev-Bitsadze equation in a 3D domain. Zbl 1257.35134
Moiseev, E. I.; Nefedov, P. V.
2012
Solvability of the mixed problem for the wave equation with a dynamic boundary condition. Zbl 1259.35145
Moiseev, E. I.; Kholomeeva, A. A.
2012
A nonlocal boundary value problem for the Lavrent’ev-Bitsadze equation. Zbl 1267.35133
Moiseev, E. I.; Likhomanenko, T. N.
2012
Optimal boundary control by displacement at one end of a string under a given elastic force at the other end. Zbl 1295.93039
Moiseev, E. I.; Kholomeeva, A. A.
2012
Solvability of mixed problems for the string oscillation equation in the space $$W_{p}^{1}$$, with $$p \geq 1$$. Zbl 1247.35067
Moiseev, E. I.; Kholomeeva, A. A.
2011
Optimal boundary displacement control of string vibrations with a nonlocal evenness condition of the second kind. Zbl 1287.74017
Moiseev, E. I.; Kholomeeva, A. A.
2011
Basis properties of eigenfunctions of a generalized gasdynamic Frankl problem. Zbl 1245.35074
Moiseev, E. I.; Abbasi, N.
2011
Optimal boundary force control at one end of a string for a given displacement mode at the other end. Zbl 1251.49005
Moiseev, E. I.; Kholomeeva, A. A.
2011
The basis property of an eigenfunction of the Frankl problem with a nonlocal parity condition in the Sobolev space $$(W^1_p(0,\pi))$$. (The basis property of an eigenfunction of the Frankl problem with a nonlocal parity condition in the space Sobolev $$(W^1_p(0,\pi))$$.) Zbl 1223.35244
Moiseev, E. I.; Abbasi, N.
2011
On the nonlinear dependence of the optimal boundary control on the initial and terminal conditions. Zbl 1241.49005
Moiseev, E. I.
2011
Optimal boundary control by a force at one end of a string with a given force mode at the other end. Zbl 1235.35190
Moiseev, E. I.; Kholomeeva, A. A.
2011
Optimal boundary displacement control of string vibrations with a nonlocal oddness condition of the first kind. Zbl 1210.49021
Moiseev, E. I.; Kholomeeva, A. A.
2010
On the solvability of nonlocal boundary value problem for the Helmholtz equation with the equality of flows at the part of the boundary and its conjugated problem. Zbl 1213.35191
Moiseev, E. I.; Ambartsumyan, V. E.
2010
On the solvability of a nonlocal boundary value problem with opposite fluxes at a part of the boundary and of the adjoint problem. Zbl 1204.35077
Moiseev, E. I.; Ambartsumyan, V. E.
2010
On the basis property of the eigenfunctions of the Frankl problem with nonlocal evenness and oddness conditions of the second kind. Zbl 1206.35180
Moiseev, E. I.; Ambartsumyan, V. E.
2010
On the solvability of a nonlocal boundary value problem with the equality of fluxes at a part of the boundary and of the adjoint problem. Zbl 1204.35076
Moiseev, E. I.; Ambartsumyan, V. E.
2010
Nikolai Alekseevich Izobov (a tribute in honor of his 70th birthday). Zbl 1191.01030
Arutyunov, A. V.; Bibikov, Yu. N.; Emel&rsquo;yanov, S. V.; Gaishun, I. V.; Il&rsquo;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&rsquo;ev, F. P.
2010
Basis property of eigenfunctions of the generalized gasedynamic problem of Frankl with a nonlocal oddness condition. Zbl 1191.35186
Abbasi, N.; Moiseev, E. I.
2010
Solvability of some nonlocal boundary value problems for the Helmholtz equation in a half-disk. Zbl 1202.35063
Moiseev, E. I.; Ambartsumyan, V. E.
2010
On the uniqueness of the solution of the first two boundary value problems for the heat equation without initial conditions. Zbl 1213.35019
Moiseev, E. I.; Vafodorova, G. O.
2010
Solution of a Gellerstedt problem for the Lavrent’ev-Bitsadze equation. Zbl 1180.35374
Moiseev, E. I.; Taranov, N. O.
2009
Basis property of the eigenfunctions of a generalized gasdynamic Frankl problem with a nonlocal evenness condition and with a discontinuity in the solution gradient. Zbl 1180.35386
Moiseev, E. I.; Abbasi, N.
2009
Optimization of the boundary control of string vibrations in the excitation problem with a fixed endpoint in the class $$W_{2}^{2}$$. Zbl 1172.49004
Moiseev, E. I.; Kholomeeva, A. A.
2009
Nikolai Nikolaevich Krasovskii (A tribute in honor of his eighty-fifth birthday). Zbl 1179.01035
Anosov, D. V.; Chernous&rsquo;ko, F. L.; Emel&rsquo;yanov, S. V.; Gamkrelidze, R. V.; Il&rsquo;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.
2009
Integral representation of the solution of a Gellerstedt problem. Zbl 1190.35052
Moiseev, E. I.; Taranov, N. O.
2009
On the basis property of eigenfunctions of the Frankl problem with a nonlocal parity condition of the second kind. Zbl 1186.35117
Moiseev, E. I.; Ambartsumyan, V. E.
2009
On the completeness of eigenfunctions of the Frankl problem with the oddness condition and with the discontinuity of the gradient of solution. Zbl 1159.35048
Moiseev, E. I.; Abbasi, N.
2009
Sharpening an a priori estimate of the solution of a well-known problem for a parabolic-hyperbolic equation. Zbl 1190.35166
Moiseev, E. I.; Kapustin, N. Yu.
2009
On the completeness of eigenfunctions of the Frankl problem with the oddness condition. Zbl 1152.35448
Moiseev, E. I.; Abbasi, N.
2008
Optimization of the control by elastic boundary forces at two ends of a string in an arbitrarily large time interval. Zbl 1148.49022
Il&rsquo;in, V. A.; Moiseev, E. I.
2008
Optimal boundary control by a displacement in $$W'p$$ of a string with free end. Zbl 1194.93095
Moiseev, E. I.
2008
Basis property of eigenfunctions of the Frankl problem with a nonlocal evenness condition and with a discontinuity in the solution gradient. Zbl 1194.35285
Moiseev, E. I.; Abbasi, N.
2008
On the basis property of eigenfunctions of the Frankl problem with a nonlocal parity condition. Zbl 1163.35444
Moiseev, E. I.; Abbasi, N.
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 1327.49010
Il&rsquo;in, V. A.; Moiseev, E. I.
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 1148.49021
Il&rsquo;in, V. A.; Moiseev, E. I.
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 1151.49003
Il&rsquo;in, V. A.; Moiseev, E. I.
2007
Optimization of boundary controls by displacements at two ends of a string for an arbitrary sufficiently large time interval. Zbl 1180.74042
Il&rsquo;in, V. A.; Moiseev, E. I.
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 1144.49023
Il&rsquo;in, V. A.; Moiseev, E. I.
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 1151.49005
Il&rsquo;in, V. A.; Moiseev, E. I.
2007
Optimization of boundary controls by elastic boundary forces at two ends of a string during an arbitrary sufficiently large time interval $$T$$. Zbl 1151.49006
Il&rsquo;in, V. A.; Moiseev, E. I.
2007
Basis properties and completeness of certain systems of elementary functions. Zbl 1182.41001
Moiseev, E. I.; Prudnikov, A. P.; Sedletskii, A. M.
2007
Optimization of boundary controls by displacements at two ends of a string during an arbitrary sufficiently large time interval. Zbl 1151.49004
Il&rsquo;in, V. A.; Moiseev, E. I.
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 1131.49028
Il&rsquo;in, V. A.; Moiseev, E. I.
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 1204.49017
Il&rsquo;in, V. A.; Moiseev, E. I.
2006
Optimization of the boundary control of string vibrations by an elastic force on an arbitrary sufficiently large time interval. Zbl 1132.49032
Il&rsquo;in, V. A.; Moiseev, E. I.
2006
Optimization of boundary controls of string vibrations. Zbl 1145.35338
Il&rsquo;in, V. A.; Moiseev, E. I.
2005
On the completeness of eigenfunctions of the Neumann-Tricomi problem for a degenerate equation of mixed type. Zbl 1131.35375
Moiseev, E. I.; Mogimi, M.
2005
On the completeness of eigenfunctions of the Tricomi problem for a degenerate equation of mixed type. Zbl 1152.35450
Moiseev, E. I.; Mogimi, M.
2005
Optimal boundary control of a string by an elastic force applied at one end, the other end being free. Zbl 1080.93009
Il&rsquo;in, V. A.; Moiseev, E. I.
2005
A boundary control at two ends by a process described by the telegraph equation. Zbl 1128.49022
Il&rsquo;in, V. A.; Moiseev, E. I.
2004
An estimate of the solution of a problem for a parabolic-hyperbolic equation with the use of Fourier series. Zbl 1123.35337
Moiseev, E. I.; Kapustin, N. Yu.
2003
On the singularities of the root space of a spectral problem with a spectral parameter in the boundary condition. Zbl 1259.34085
Moiseev, E. I.; Kapustin, N. Yu.
2002
On a boundary control at one end of a process described by the telegraph equation. Zbl 1146.93339
Il&rsquo;in, V. A.; Moiseev, E. I.
2002
Problems without initial conditions for some differential equations. Zbl 1029.35004
Moiseev, E. I.; Vafodorova, G. O.
2002
A remark on the convergence problem for spectral expansions corresponding to a classical problem with spectral parameter in the boundary condition. Zbl 1031.34011
Kapustin, N. Yu.; Moiseev, E. I.
2001
Solvability of a nonlocal boundary value problem. Zbl 1016.35021
Moiseev, E. I.
2001
The Tricomi problem for the Lavrent’ev–Bitsadze equation with retarded argument. Zbl 1027.35082
Moiseev, E. I.; Zarubin, A. N.
2001
The basis property in $$L_p$$ of the system of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition. Zbl 1005.34075
Kapustin, N. Yu.; Moiseev, E. I.
2000
Convergence of spectral expansions for functions of the Hölder class for two problems with a spectral parameter in the boundary condition. Zbl 0990.34071
Kapustin, N. Yu.; Moiseev, E. I.
2000
Uniqueness of the solution of a mixed problem for the wave equation with nonlocal boundary conditions. Zbl 1194.35228
Il&rsquo;in, V. A.; Moiseev, E. I.
2000
The solution of a nonlocal boundary value problem by the spectral method. Zbl 0973.35085
Moiseev, E. I.
1999
The basic property of a system of eigenfunctions of a differential operator in a weighted space. Zbl 0934.35107
Moiseev, E. I.
1999
Obituary. Anatolii Platonovich Prudnikov (1927-1999). Zbl 0938.01039
Glaeske, H.-J.; Il&rsquo;in, V. A.; Kilbas, A. A.; Moiseev, E. I.; Saigo, M.; Samko, S. G.
1999
On the basis property of sine and cosine systems in a weighted space. Zbl 0952.46010
Moiseev, E. I.
1998
On a spectral problem for the Laplace operator in the square with spectral parameter in the boundary condition. Zbl 1003.35103
Kapustin, N. Yu.; Moiseev, E. I.
1998
An upper bound on the diagonal for the spectral function of the many-dimensional Schrödinger operator with potential satisfying the Kato condition. Zbl 0946.35054
Il&rsquo;in, V. A.; Moiseev, E. I.
1998
On the generalized Fourier sine- and cosine- transforms. Zbl 0944.42008
Moiseev, E. I.; Prudnikov, A. P.; Skórnik, U.
1998
Spectral problems with the spectral parameter in the boundary condition. Zbl 0911.34070
Kapustin, N. Yu.; Moiseev, E. I.
1997
On the spectral problem from the theory of the parabolic-hyperbolic heat equation. Zbl 0965.34070
Kapustin, N. Yu.; Moiseev, E. I.
1997
On the basis property of systems of sines and cosines in the Sobolev spaces. Zbl 0868.46002
Moiseev, Evgeny I.; Prudnikov, Anatoly P.
1996
Differential properties of expansions with respect to a system of sines and cosines. Zbl 0877.46005
Moiseev, E. I.
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 0886.35105
Il&rsquo;in, V. A.; Moiseev, E. I.
1996
The system of root functions of the directional derivative problem is not a basis. Zbl 0828.35088
Il&rsquo;in, V. A.; Moiseev, E. I.
1994
Spectral characteristics of a nonlocal boundary value problem. Zbl 0844.34091
Moiseev, E. I.
1994
On the existence and uniqueness of the solution of a nonclassical boundary value problem. Zbl 0836.35101
Moiseev, E. I.
1994
The system of root functions of a nonlocal boundary value problem is not a basis. Zbl 0854.35075
Moiseev, E. I.
1994
On a complete orthonormal system of special functions. Zbl 0794.42020
Moiseev, E. I.; Prudnikov, A. P.
1993
Solvability of a boundary-value problem by the eigenvalue method. Zbl 0802.35103
Moiseev, E. I.
1993
On the solution of the Frankl problem. Zbl 0824.35016
Moiseev, E. I.
1992
...and 44 more Documents
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### Cited by 596 Authors

 56 Moiseev, Evgeniĭ Ivanovich 40 Ge, Weigao 20 Il’in, Vladimir Aleksandrovich 18 Aliyev, Ziyatkhan S. 16 Kholomeeva, A. A. 13 Guo, Yanping 13 Kapustin, N. Yu 13 Liu, Yuji 11 Moiseev, T. E. 10 Sabitov, Kamil’ Basirovich 9 Feng, Hanying 9 Gupta, Chaitan P. 9 Kerimov, Nazim B. 9 Liu, Bing 8 Ji, Dehong 8 Ma, Ruyun 7 Ji, Yude 6 Abashkin, Anton Aleksandrovich 6 Feng, Meiqiang 6 Sabitova, Yuliya Kamilevna 6 Sidorov, Stanislav Nikolaevich 6 Volkov-Bogorodsky, Dmitrij B. 6 Wang, Youyu 5 Bai, Zhanbing 5 Boulaaras, Salah Mahmoud 5 Du, Zengji 5 Dzhokhadze, Otar Mikhajlovich 5 Islomov, Bozor Islomovich 5 Kharibegashvili, S. S. 5 Luca, Rodica 5 Nefedov, P. V. 5 Pang, Huihui 5 Polovinkin, Igor P. 5 Sadigova, Sabina Rahib 5 Sadybekov, Makhmud A. 5 Yuldashev, Tursun Kamaldinovich 4 Ahmad, Bashir 4 Ambartsumyan, V. E. 4 Assanova, Anar Turmaganbetkyzy 4 Bilalov, Bilal T. 4 Chen, Shihua 4 Gulyaev, D. A. 4 Henderson, Johnny Lee 4 Korzyuk, Viktor Ivanovich 4 Kozhanov, Aleksandr Ivanovich 4 Kuleshov, Aleksandr Andreevich 4 Likhomanenko, T. N. 4 Liu, Lishan 4 Liu, Xiujun 4 Lomov, Igor’ Sergeevich 4 Lomovtsev, F. E. 4 Maris, Emir Ali 4 Mironov, Alekseĭ Nikolaevich 4 Nakhusheva, Z. A. 4 Namazov, Faiq Mirzali 4 Nieto Roig, Juan Jose 4 Potapov, Mikhaĭl Mikhaĭlovich 4 Štikonas, Artūras 4 Sun, Bo 4 Sun, Yongping 4 Tsamatos, Panagiotis Ch. 4 Volkov, Evgeniĭ Alekseevich 4 Wu, Yonghong 3 Aldashev, Serik Aĭmurzaevich 3 Ashyralyev, Allaberen 3 Attaev, Anatoliĭ Khuseevich 3 Baranetskyĭ, Yaroslav Omelyanovich 3 Barseghyan, Vanya Rafaelovich 3 Berdyshev, Abdumauvlen Suleymanovich 3 Burlutskaya, Marija Shaukatovna 3 Guliyeva, Fatima A. 3 Hamal, Nuket Aykut 3 Jangveladze, Temur A. 3 Jiang, Weihua 3 Karakostas, George L. 3 Karimov, Erkinjon Tulkinovich 3 Khromov, Avgust Petrovich 3 Kiguradze, Ivan Tarielovich 3 Kim, Chan-Gyun 3 Kirane, Mokhtar 3 Kirichek, Vitaliya Aleksandrovna 3 Kong, Lingju 3 Kopach, Mykhaĭlo Ivanovych 3 Kritskov, Leonid V. 3 Ma, Dexiang 3 Mehrabov, Vuqar A. 3 Mehraliev, Yashar T. 3 Mesloub, Said 3 Novikov, Evgenij N. 3 Polosin, Alexei A. 3 Popivanov, Nedyu Iv. 3 Prasad, Kapula Rajendra 3 Sadovnichiĭ, Viktor Antonovich 3 Sapagovas, Mifodijus 3 Shen, Jianhua 3 Skubachevskiĭ, Aleksandr Leonidovich 3 Sreedhar, Namburi 3 Torebek, Berikbol Tillabayuly 3 Ubaydullayev, U. Sh. 3 Yang, Zhilin ...and 496 more Authors
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### Cited in 134 Serials

 108 Differential Equations 42 Doklady Mathematics 39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 36 Applied Mathematics and Computation 30 Journal of Mathematical Analysis and Applications 23 Lobachevskii Journal of Mathematics 21 Journal of Mathematical Sciences (New York) 19 Computers & Mathematics with Applications 16 Boundary Value Problems 14 Journal of Computational and Applied Mathematics 13 Russian Mathematics 12 Integral Transforms and Special Functions 11 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 10 Applied Mathematics Letters 10 Journal of Applied Mathematics and Computing 9 Mathematical Notes 9 Abstract and Applied Analysis 7 Ukrainian Mathematical Journal 7 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 7 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya 6 Mathematical and Computer Modelling 6 Cybernetics and Systems Analysis 6 Filomat 5 Computational Mathematics and Modeling 5 Turkish Journal of Mathematics 5 Mediterranean Journal of Mathematics 4 Journal of Differential Equations 4 Siberian Mathematical Journal 4 Acta Applicandae Mathematicae 4 Hacettepe Journal of Mathematics and Statistics 4 Complex Variables and Elliptic Equations 4 Proceedings of the Steklov Institute of Mathematics 3 Fluid Dynamics 3 Lithuanian Mathematical Journal 3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 3 International Journal of Mathematics and Mathematical Sciences 3 Acta Mathematicae Applicatae Sinica. English Series 3 Automation and Remote Control 3 Mathematical Modelling and Analysis 3 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 3 Advances in Difference Equations 3 Journal of Function Spaces 3 Nonlinear Analysis. Theory, Methods & Applications 2 Applicable Analysis 2 Moscow University Mathematics Bulletin 2 Bulletin of the Iranian Mathematical Society 2 Optimization 2 Applications of Mathematics 2 Sbornik: Mathematics 2 Fractional Calculus & Applied Analysis 2 Discrete Dynamics in Nature and Society 2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Central European Journal of Mathematics 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Tbilisi Mathematical Journal 2 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Eurasian Mathematical Journal 2 ISRN Mathematical Analysis 2 Azerbaijan Journal of Mathematics 2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 2 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 2 Carpathian Mathematical Publications 2 Sahand Communications in Mathematical Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Czechoslovak Mathematical Journal 1 Le Matematiche 1 Mathematica Slovaca 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Moscow University Computational Mathematics and Cybernetics 1 Systems & Control Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Journal of Integral Equations and Applications 1 Journal of Global Optimization 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 Journal of Computer and Systems Sciences International 1 Topological Methods in Nonlinear Analysis 1 Applied Mathematics. Series B (English Edition) 1 International Applied Mechanics 1 Electronic Journal of Differential Equations (EJDE) 1 Georgian Mathematical Journal 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Engineering Analysis with Boundary Elements 1 The Journal of Fourier Analysis and Applications 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Vietnam Journal of Mathematics 1 Positivity 1 Journal of Inequalities and Applications 1 Matematychni Studiï 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki ...and 34 more Serials
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### Cited in 35 Fields

 296 Ordinary differential equations (34-XX) 285 Partial differential equations (35-XX) 110 Operator theory (47-XX) 51 Mechanics of deformable solids (74-XX) 45 Numerical analysis (65-XX) 33 Systems theory; control (93-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 25 Functional analysis (46-XX) 15 Integral equations (45-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 11 Special functions (33-XX) 10 Functions of a complex variable (30-XX) 9 Difference and functional equations (39-XX) 9 Fluid mechanics (76-XX) 6 Mechanics of particles and systems (70-XX) 5 General and overarching topics; collections (00-XX) 5 Integral transforms, operational calculus (44-XX) 4 History and biography (01-XX) 4 Real functions (26-XX) 4 Operations research, mathematical programming (90-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

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