# zbMATH — the first resource for mathematics

## Filimonov, Andrey M.

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 Author ID: filimonov.andrey-m Published as: Filimonov, A.; Filimonov, A. M.; Filimonov, Andrey M.
 Documents Indexed: 20 Publications since 1976

#### Co-Authors

 1 single-authored 11 Myshkis, Anatoliĭ Dmitrievich 2 Kurchanov, Pavel F.
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#### Serials

 3 Journal of Difference Equations and Applications 1 Journal of Applied Mathematics and Mechanics 1 Differentsial’nye Uravneniya 1 Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Matematicheskaya Fizika, Analiz, Geometriya 1 Differential Equations
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#### Fields

 7 Partial differential equations (35-XX) 4 Mechanics of deformable solids (74-XX) 3 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH

12 Publications have been cited 55 times in 36 Documents Cited by Year
Continuous solutions of quasi-linear hyperbolic systems with two independent variables. Zbl 0459.35052
Myshkis, A. D.; Filimonov, A. M.
1981
Some unexpected results in the classical problem of vibrations of the string with $$n$$ beards when $$n$$ is large. Zbl 0752.73044
Filimonov, Andrey M.; Kurchanov, Pavel F.; Myshkis, Anatoly D.
1991
Continuous approximations of difference operators. Zbl 0882.34068
Filimonov, Andrey M.
1996
Asymptotic estimates of solutions to a mixed difference-differential equation in oscillation theory. Zbl 0907.34050
Filimonov, A. M.; Myshkis, A. D.
1998
On properties of large wave effect in classical problem of bead string vibration. Zbl 1329.74069
Filimonov, A. M.; Myshkis, A. D.
2004
Vibrations of rolling stock and a theorem of Kronecker. Zbl 0788.73046
Kurchanov, P. F.; Myshkis, A. D.; Filimonov, A. M.
1991
On the global continuous solvability of the mixed problem for one-dimensional hyperbolic systems of quasilinear equations. Zbl 1152.35071
Myshkis, A. D.; Filimonov, A. M.
2008
Continuous solutions of hyperbolic systems of quasilinear equations with two independent variables. Zbl 1095.35008
Myshkis, A. D.; Filimonov, A. M.
2003
Continual and discrete models of bounded one-dimensional media in viscoelasticity theory. Zbl 0881.73047
Filimonov, A. M.
1997
Continuous solutions of quasilinear hyperbolic systems with two independent variables. Zbl 0549.35076
Myshkis, A. D.; Filimonov, A. M.
1982
Splash effect and ergodic properties of solution of the classic difference-differential equation. Zbl 0965.37005
Filimonov, A.; Mao, X.; Maslov, S.
2000
On approximation of difference operator with differential one by investigation of oscillations of 1-dimensional discrete systems. Zbl 0892.35151
Filimonov, A. M.; Myshkis, A. D.
1997
On the global continuous solvability of the mixed problem for one-dimensional hyperbolic systems of quasilinear equations. Zbl 1152.35071
Myshkis, A. D.; Filimonov, A. M.
2008
On properties of large wave effect in classical problem of bead string vibration. Zbl 1329.74069
Filimonov, A. M.; Myshkis, A. D.
2004
Continuous solutions of hyperbolic systems of quasilinear equations with two independent variables. Zbl 1095.35008
Myshkis, A. D.; Filimonov, A. M.
2003
Splash effect and ergodic properties of solution of the classic difference-differential equation. Zbl 0965.37005
Filimonov, A.; Mao, X.; Maslov, S.
2000
Asymptotic estimates of solutions to a mixed difference-differential equation in oscillation theory. Zbl 0907.34050
Filimonov, A. M.; Myshkis, A. D.
1998
Continual and discrete models of bounded one-dimensional media in viscoelasticity theory. Zbl 0881.73047
Filimonov, A. M.
1997
On approximation of difference operator with differential one by investigation of oscillations of 1-dimensional discrete systems. Zbl 0892.35151
Filimonov, A. M.; Myshkis, A. D.
1997
Continuous approximations of difference operators. Zbl 0882.34068
Filimonov, Andrey M.
1996
Some unexpected results in the classical problem of vibrations of the string with $$n$$ beards when $$n$$ is large. Zbl 0752.73044
Filimonov, Andrey M.; Kurchanov, Pavel F.; Myshkis, Anatoly D.
1991
Vibrations of rolling stock and a theorem of Kronecker. Zbl 0788.73046
Kurchanov, P. F.; Myshkis, A. D.; Filimonov, A. M.
1991
Continuous solutions of quasilinear hyperbolic systems with two independent variables. Zbl 0549.35076
Myshkis, A. D.; Filimonov, A. M.
1982
Continuous solutions of quasi-linear hyperbolic systems with two independent variables. Zbl 0459.35052
Myshkis, A. D.; Filimonov, A. M.
1981
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#### Cited by 46 Authors

 3 Andrianov, Igor V. 3 Andrianov, Igor Vasil’evich 3 Awrejcewicz, Jan 3 Kamont, Zdzisław 3 Pivovarchik, Vyacheslav N. 3 Tretter, Christiane 3 Weichert, Dieter 2 Człapiński, Tomasz 2 Filimonov, Andrej M. 2 Kmit, Irina 2 Kozieł, Sławomir 2 Pivovarchik, Vyacheslav M. 2 Turo, Jan 1 Aliev, Sardar Ya. 1 Apolonskii, V. V. 1 Bassanini, Piero 1 Chen, Xiang 1 Chizhonkov, Eugene V. 1 Colquitt, Daniel J. 1 Danishevskiĭ, Vladislav Valentinovich 1 Filimonov, A. Y. 1 Filimonov, Andrey M. 1 Gamkrelidze, Revaz Valerianovich 1 Guo, Yongxia 1 Kachalkin, I. O. 1 Kaplunov, Julius D. 1 Kholod, Elena G. 1 Kopylova, L. G. 1 Kouvaritakis, Basil A. 1 Kyrylych, V. M. 1 Majstrenko, Yu. L. 1 Mao, Xuerong 1 Martynuk, Olga 1 Maslov, S. A. 1 Möller, Manfred 1 Myshkis, Anatoliĭ Dmitrievich 1 Recke, Lutz 1 Rozhenko, Natalia A. 1 Slyusarchuk, O. Z. 1 Starushenko, Galina A. 1 Straškraba, Ivan 1 Tanthanuch, Jessada 1 Tararykin, S. V. 1 Tkachenko, Victor Ivanovich 1 Wei, Guangsheng 1 Yang, Lu
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#### Cited in 29 Serials

 3 Ukrainian Mathematical Journal 3 Journal of Difference Equations and Applications 2 Prikladnaya Matematika i Mekhanika 2 Zeitschrift für Analysis und ihre Anwendungen 2 Journal of Mathematical Sciences (New York) 1 Applicable Analysis 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Aplikace Matematiky 1 Czechoslovak Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Linear Algebra and its Applications 1 Journal of Computer and Systems Sciences International 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Mathematical Problems in Engineering 1 European Journal of Control 1 Mathematics and Mechanics of Solids 1 Nonlinear Dynamics 1 Matematychni Studiï 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Cited in 18 Fields

 20 Partial differential equations (35-XX) 8 Mechanics of particles and systems (70-XX) 6 Ordinary differential equations (34-XX) 5 Difference and functional equations (39-XX) 4 Mechanics of deformable solids (74-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Combinatorics (05-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX)