# zbMATH — the first resource for mathematics

Compute Distance To:
 Author ID: millionshchikov.vladimir-m Published as: Millionshchikov, V. M.; Millionscikov, V. M.; Millionshchikov, Vladimir Mikhailovich; Millionshchikov, V. N.; Millionsikov, V. M. External Links: MGP · Math-Net.Ru · Wikidata
 Documents Indexed: 135 Publications since 1960 Biographic References: 2 Publications
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#### Serials

 49 Differential Equations 20 Differentsial’nye Uravneniya 12 Mathematical Notes 9 Mathematics of the USSR, Sbornik 7 Soviet Mathematics. Doklady 6 Matematicheskiĭ Sbornik. Novaya Seriya 6 Differential Equations 5 Izvestiya Akademii Nauk Kazakhskoĭ SSR, Seriya Fiziko-Matematicheskaya 5 Matematicheskie Zametki 1 Doklady Akademii Nauk SSSR 1 Russian Mathematical Surveys 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 1 Mathematics of the USSR. Izvestiya 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Transactions of the Moscow Mathematical Society 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Memoirs on Differential Equations and Mathematical Physics 1 Trudy Instituta Prikladnoĭ Matematiki Imeni I. N. Vekua 1 Matematicheskiĭ Zhurnal
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#### Fields

 79 Ordinary differential equations (34-XX) 37 Dynamical systems and ergodic theory (37-XX) 16 History and biography (01-XX) 12 Algebraic topology (55-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 General topology (54-XX) 3 Manifolds and cell complexes (57-XX) 2 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

49 Publications have been cited 170 times in 119 Documents Cited by Year
Some unsolved problems in the theory of differential equations and mathematical physics. Zbl 0703.35002
Arnol’d, V. I.; Vishik, M. I.; Il’yashenko, Yu. S.; Kalashnikov, A. S.; Kondrat’ev, V. A.; Kruzhkov, S. N.; Landis, E. M.; Millionshchikov, V. M.; Oleĭnik, O. A.; Filippov, A. F.; Shubin, M. A.
1989
A proof of the attainability of the central exponents of linear systems. Zbl 0193.04503
Millionshchikov, V. M.
1969
Systeme mit Integralteilbarkeit sind überall dicht in der Menge aller linearen Differentialgleichungssysteme. Zbl 0176.04801
Millionshchikov, V. M.
1969
Formulas for the Lyapunov exponents of linear systems of differential equations. Zbl 0715.34100
Millionshchikov, V. M.
1987
Metric theory of linear systems of differential equations. Zbl 0176.04701
Millionshchikov, V. M.
1968
Lyapunov exponents as functions of a parameter. Zbl 0705.34058
Millionshchikov, V. M.
1990
Proof of the existence of irregular systems of linear differential equations with almost periodic coefficients. Zbl 0236.34006
Millionscikov, V. M.
1972
Systems with integral separateness which are everywhere dense in the set of all linear systems of differential equations. Zbl 0249.34006
Millionscikov, V. M.
1972
Instability of the characteristic indices of statistically regular systems. Zbl 0162.13002
Millionshchikov, V. M.
1968
Über die Instabilität der singulären Exponenten und über die Unsymmetrie der Relation der Fastreduzibilität linearer Differentialgleichungssysteme. Zbl 0169.11501
Millionshchikov, V. M.
1969
The structure of the fundamental matrices of R-systems with almost periodic coefficients. Zbl 0207.38505
Millionshchikov, V. M.
1966
Proof of the existence of irregular systems of linear differential equations with quasiperiodic coefficients. Zbl 0263.34008
Millionscikov, V. M.
1972
A criterion for a small change in the direction of the solutions of a linear system of differential equations as the result of small disturbances in the coefficients of the system. Zbl 0187.33901
Millionscikov, V. M.
1968
Instability of the characteristic indices of statistically regular systems. Zbl 0155.41001
Millionshchikov, V. M.
1967
A stability criterion for the probability spectrum of linear systems of differential equations with recurrent coefficients and a criterion for almost reducibility of systems with almost periodic coefficients. Zbl 0194.40802
Millionscikov, V. M.
1970
’Grobe’ Eigenschaften linearer Differentialgleichungssysteme. Zbl 0179.12701
Millionshchikov, V. M.
1969
Lyapunov exponents of a family of endomorphisms of a metrizable vector bundle. Zbl 0594.34050
Millionshchikov, V. M.
1985
A contribution to the theory of differential equations $$dx/dt = f(x,t)$$ in locally convex spaces. Zbl 0112.34203
Millionshchikov, V. M.
1960
Recurrent or nearly periodic limit trajectories of nonautonomous systems of differential equations. Zbl 0133.35202
Millionshchikov, V. M.
1965
Formulas for the Lyapunov exponents of a family of endomorphisms of a metric vector bundle. Zbl 0627.34058
Millionshchikov, V. M.
1986
Normal bases of a family of endomorphisms of a metrized vector bundle. Zbl 0644.34051
Millionshchikov, V. M.
1985
Letters to the editor. Zbl 0312.34009
Millionscikov, V. M.
1975
On the typicalness of almost reducible systems with almost periodic coefficients. Zbl 0412.34026
Millionshchikov, V. M.
1978
Typicality of almost-periodic systems with almost-periodic coefficients. Zbl 0434.34027
Millionshchikov, V. M.
1978
Theory of differential equations with a small factor in the derivatives in linear topological spaces. Zbl 0203.46103
Millionshchikov, V. M.
1962
Two theorems concerning variational systems of smooth dynamical systems. Zbl 0206.10202
Millionshchikov, V. M.
1969
Coarse properties of linear systems of differential equations. Zbl 0257.34049
Millionscikov, V. M.
1972
Linear systems of ordinary differential equations. Zbl 0269.34009
Millionscikov, V. M.
1973
Beweis der Existenz nicht regulärer Systeme von linearen Differentialgleichungen mit fastperiodischen Koeffizienten. Zbl 0164.09904
Millionshchikov, V. M.
1968
Statistically regular systems. Zbl 0184.12204
Millionscikov, V. M.
1969
Metric theory of linear systems of differential equations. Zbl 0185.16101
Millionscikov, V. M.
1970
A stability criterion for the probable spectrum of linear systems of differential equations with recurrent coefficients and the almost reducibility criterion for systems with periodic coefficients. Zbl 0186.14603
Millionshchikov, V. M.
1968
On typical properties of conditional exponential stability. I. Zbl 0528.34051
Millionshchikov, V. M.
1983
Typical property of Lyapunov exponents. Zbl 0613.34037
Millionshchikov, V. N.
1986
Über den Zusammenhang zwischen der Stabilität der charakteristischen Exponenten und der Fastreduzibilität von Systemen mit fastperiodischen Koeffizienten. Zbl 0155.40903
Millionshchikov, V. M.
1967
A comment on the Nemytskii-Bebutov theorem concerning completely unstable dynamical systems. Zbl 0354.34045
Millionshchikov, V. M.
1976
On the stability of characteristic indices of the limiting solutions of linear systems. Zbl 0158.09203
Millionshchikov, V. M.
1966
Über rekurrente und fastperiodische Grenzlösungen nichtautonomer Systeme. Zbl 0177.35401
Millionshchikov, V. M.
1968
Beweis für die Existenz irregulärer linearer Differentialgleichungssysteme mit quasiperiodischen Koeffizienten. Zbl 0182.11603
Millionscikov, V. M.
1969
Baire classes of functions and Lyapunov indices. IV. Zbl 0541.34028
Millionshchikov, V. M.
1981
Baire classes of functions and Lyapunov indices. V. Zbl 0541.34029
Millionshchikov, V. M.
1982
On indices of exponential dichotomy. Zbl 0564.34048
Millionshchikov, V. M.
1984
Baire function classes and Lyapunov indices. XI. Zbl 0577.34042
Millionshchikov, V. M.
1983
Metric spaces of diffeomorphisms. Zbl 0589.57031
Millionshchikov, V. M.
1985
Metric properties of the space of smooth transformations of a Riemannian manifold. Zbl 0604.58012
Millionshchikov, V. M.
1985
The asymptotic behavior of the solutions of linear systems with small perturbations. Zbl 0131.08802
Millionshchikov, V. M.
1965
Baire function classes and Lyapunov indices. I. Zbl 0487.34046
Millionshchikov, V. M.
1981
Typical properties of conditional exponential stability. XII. Zbl 0621.34039
Millionshchikov, V. M.
1985
Behavior of conditional stability under a change of the parameters. Zbl 0677.34050
Millionshchikov, V. M.
1989
Lyapunov exponents as functions of a parameter. Zbl 0705.34058
Millionshchikov, V. M.
1990
Some unsolved problems in the theory of differential equations and mathematical physics. Zbl 0703.35002
Arnol&rsquo;d, V. I.; Vishik, M. I.; Il&rsquo;yashenko, Yu. S.; Kalashnikov, A. S.; Kondrat&rsquo;ev, V. A.; Kruzhkov, S. N.; Landis, E. M.; Millionshchikov, V. M.; Oleĭnik, O. A.; Filippov, A. F.; Shubin, M. A.
1989
Behavior of conditional stability under a change of the parameters. Zbl 0677.34050
Millionshchikov, V. M.
1989
Formulas for the Lyapunov exponents of linear systems of differential equations. Zbl 0715.34100
Millionshchikov, V. M.
1987
Formulas for the Lyapunov exponents of a family of endomorphisms of a metric vector bundle. Zbl 0627.34058
Millionshchikov, V. M.
1986
Typical property of Lyapunov exponents. Zbl 0613.34037
Millionshchikov, V. N.
1986
Lyapunov exponents of a family of endomorphisms of a metrizable vector bundle. Zbl 0594.34050
Millionshchikov, V. M.
1985
Normal bases of a family of endomorphisms of a metrized vector bundle. Zbl 0644.34051
Millionshchikov, V. M.
1985
Metric spaces of diffeomorphisms. Zbl 0589.57031
Millionshchikov, V. M.
1985
Metric properties of the space of smooth transformations of a Riemannian manifold. Zbl 0604.58012
Millionshchikov, V. M.
1985
Typical properties of conditional exponential stability. XII. Zbl 0621.34039
Millionshchikov, V. M.
1985
On indices of exponential dichotomy. Zbl 0564.34048
Millionshchikov, V. M.
1984
On typical properties of conditional exponential stability. I. Zbl 0528.34051
Millionshchikov, V. M.
1983
Baire function classes and Lyapunov indices. XI. Zbl 0577.34042
Millionshchikov, V. M.
1983
Baire classes of functions and Lyapunov indices. V. Zbl 0541.34029
Millionshchikov, V. M.
1982
Baire classes of functions and Lyapunov indices. IV. Zbl 0541.34028
Millionshchikov, V. M.
1981
Baire function classes and Lyapunov indices. I. Zbl 0487.34046
Millionshchikov, V. M.
1981
On the typicalness of almost reducible systems with almost periodic coefficients. Zbl 0412.34026
Millionshchikov, V. M.
1978
Typicality of almost-periodic systems with almost-periodic coefficients. Zbl 0434.34027
Millionshchikov, V. M.
1978
A comment on the Nemytskii-Bebutov theorem concerning completely unstable dynamical systems. Zbl 0354.34045
Millionshchikov, V. M.
1976
Letters to the editor. Zbl 0312.34009
Millionscikov, V. M.
1975
Linear systems of ordinary differential equations. Zbl 0269.34009
Millionscikov, V. M.
1973
Proof of the existence of irregular systems of linear differential equations with almost periodic coefficients. Zbl 0236.34006
Millionscikov, V. M.
1972
Systems with integral separateness which are everywhere dense in the set of all linear systems of differential equations. Zbl 0249.34006
Millionscikov, V. M.
1972
Proof of the existence of irregular systems of linear differential equations with quasiperiodic coefficients. Zbl 0263.34008
Millionscikov, V. M.
1972
Coarse properties of linear systems of differential equations. Zbl 0257.34049
Millionscikov, V. M.
1972
A stability criterion for the probability spectrum of linear systems of differential equations with recurrent coefficients and a criterion for almost reducibility of systems with almost periodic coefficients. Zbl 0194.40802
Millionscikov, V. M.
1970
Metric theory of linear systems of differential equations. Zbl 0185.16101
Millionscikov, V. M.
1970
A proof of the attainability of the central exponents of linear systems. Zbl 0193.04503
Millionshchikov, V. M.
1969
Systeme mit Integralteilbarkeit sind überall dicht in der Menge aller linearen Differentialgleichungssysteme. Zbl 0176.04801
Millionshchikov, V. M.
1969
Über die Instabilität der singulären Exponenten und über die Unsymmetrie der Relation der Fastreduzibilität linearer Differentialgleichungssysteme. Zbl 0169.11501
Millionshchikov, V. M.
1969
’Grobe’ Eigenschaften linearer Differentialgleichungssysteme. Zbl 0179.12701
Millionshchikov, V. M.
1969
Two theorems concerning variational systems of smooth dynamical systems. Zbl 0206.10202
Millionshchikov, V. M.
1969
Statistically regular systems. Zbl 0184.12204
Millionscikov, V. M.
1969
Beweis für die Existenz irregulärer linearer Differentialgleichungssysteme mit quasiperiodischen Koeffizienten. Zbl 0182.11603
Millionscikov, V. M.
1969
Metric theory of linear systems of differential equations. Zbl 0176.04701
Millionshchikov, V. M.
1968
Instability of the characteristic indices of statistically regular systems. Zbl 0162.13002
Millionshchikov, V. M.
1968
A criterion for a small change in the direction of the solutions of a linear system of differential equations as the result of small disturbances in the coefficients of the system. Zbl 0187.33901
Millionscikov, V. M.
1968
Beweis der Existenz nicht regulärer Systeme von linearen Differentialgleichungen mit fastperiodischen Koeffizienten. Zbl 0164.09904
Millionshchikov, V. M.
1968
A stability criterion for the probable spectrum of linear systems of differential equations with recurrent coefficients and the almost reducibility criterion for systems with periodic coefficients. Zbl 0186.14603
Millionshchikov, V. M.
1968
Über rekurrente und fastperiodische Grenzlösungen nichtautonomer Systeme. Zbl 0177.35401
Millionshchikov, V. M.
1968
Instability of the characteristic indices of statistically regular systems. Zbl 0155.41001
Millionshchikov, V. M.
1967
Über den Zusammenhang zwischen der Stabilität der charakteristischen Exponenten und der Fastreduzibilität von Systemen mit fastperiodischen Koeffizienten. Zbl 0155.40903
Millionshchikov, V. M.
1967
The structure of the fundamental matrices of R-systems with almost periodic coefficients. Zbl 0207.38505
Millionshchikov, V. M.
1966
On the stability of characteristic indices of the limiting solutions of linear systems. Zbl 0158.09203
Millionshchikov, V. M.
1966
Recurrent or nearly periodic limit trajectories of nonautonomous systems of differential equations. Zbl 0133.35202
Millionshchikov, V. M.
1965
The asymptotic behavior of the solutions of linear systems with small perturbations. Zbl 0131.08802
Millionshchikov, V. M.
1965
Theory of differential equations with a small factor in the derivatives in linear topological spaces. Zbl 0203.46103
Millionshchikov, V. M.
1962
A contribution to the theory of differential equations $$dx/dt = f(x,t)$$ in locally convex spaces. Zbl 0112.34203
Millionshchikov, V. M.
1960
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#### Cited by 113 Authors

 8 Bykov, Vladimir Vladislavovich 8 Czornik, Adam 8 Johnson, Russell Allan 8 Millionshchikov, Vladimir Mikhaĭlovich 8 Sergeev, Igor’ Nikolaevich 7 Fiedler, Bernold 7 Niezabitowski, Michał 6 Rocha, Carlos 4 Babiarz, Artur 4 Barabanov, E. A. 4 Palmer, Kenneth James 3 Konyukh, Alexander 3 Makarov, Evgeniĭ Konstantinovich 3 Marchenko, I. V. 3 Wu, Kuilin 3 Zhikov, Vasiliĭ Vasil’evich 2 Ashbaugh, Mark S. 2 Benguria, Rafael D. 2 Duc, Luu Hoang 2 Han, Maoan 2 Karpuk, M. V. 2 Kulik, V. L. 2 Lipnitskii, A. V. 2 Liu, Vincent Xiaosong 2 Nadirashvili, Nikolai S. 2 Nguyen Dinh Cong 2 Papaschinopoulos, Garyfalos 2 Salova, T. V. 2 Van Vleck, Erik S. 2 Voidelevich, A. S. 2 Wang, Jihua 2 Xiao, Dongmei 2 Zhao, Yulin 1 Afanas’ev, Alexander P. 1 Agranovich, Mikhail Semënovich 1 Akhmerov, Ramil R. 1 Akhrem, A. A. 1 Astashova, Irina Viktorovna 1 Bagirov, Lev A. 1 Banshchikova, Irina Nikolaevna 1 Barabanov, Evgenij 1 Bessa, Mário 1 Bíyíkoğlu, Türker 1 Bochi, Jairo 1 Bogachev, Vladimir Igorevich 1 Boudourides, Moses A. 1 Chechkin, Gregory Aleksandrovich 1 Dieci, Luca 1 Doan, Thai Son 1 Dzyuba, Sergei M. 1 Eleutheriadis, Georgios I. 1 Eremenko, Alexandre Émmanuilovich 1 Fabbri, Roberta 1 Fal’ko, N. S. 1 Gavrilov, Lubomir 1 Gourmelon, Nicolas 1 Hong, Phan Thanh 1 Hordijk, Wim 1 Hric, Roman 1 Iliev, Iliya Dimov 1 Ilyashenko, Yulij Sergeevich 1 Izobov, Nikolaĭ Alekseevich 1 Oertel-Jäger, Tobias Hendrik 1 Jakobson, Dmitry 1 Kamenskiĭ, Mikhaĭl Igor’evich 1 Kokushkin, V. I. 1 Kon’kov, Andrej A. 1 Kozlov, Valeriĭ Vasil’evich 1 Krzyhevich, S. G. 1 Leydold, Josef 1 Liang, Haihua 1 Liu, Chao 1 Liu, Weishi 1 Lobanov, S. G. 1 Makarov, Igor’ Mikhailovich 1 Mierczyński, Janusz 1 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 1 Mokry, Piotr 1 Moser, Jürgen K. 1 Nawrat, Aleksander Michał 1 Niparko, N. S. 1 Novikov, Dmitry 1 Novikov, V. L. 1 Pastur, Leonid Andreevich 1 Pisanski, Tomaž 1 Pliss, Viktor Aleksandrovich 1 Pokhozhaev, Stanislav I. 1 Popova, Svetlana Nikolaevna 1 Pöschel, Jürgen 1 Potapov, A. S. 1 Rabanal, Roland 1 Radkevich, Evgeniĭ Vladimirovich 1 Rakhimberdiev, Marat Isimgalievich 1 Rakhmankulov, V. Z. 1 Rasmussen, Martin 1 Ravcheev, A. V. 1 Rozov, Nikolaĭ Khristovich 1 Sadovskii, Boris Nikolaevich 1 Samoĭlenko, Anatoliĭ Mykhaĭlovych 1 Schinas, John ...and 13 more Authors
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#### Cited in 43 Serials

 21 Differential Equations 15 Mathematical Notes 10 Journal of Differential Equations 7 Journal of Dynamics and Differential Equations 7 Journal of Mathematical Sciences (New York) 6 Journal of Mathematical Analysis and Applications 6 Journal of Soviet Mathematics 3 Ukrainian Mathematical Journal 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Communications in Mathematical Physics 2 Journal of the Franklin Institute 2 Moscow University Mathematics Bulletin 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Linear Algebra and its Applications 2 Russian Mathematics 2 Discrete and Continuous Dynamical Systems 1 Israel Journal of Mathematics 1 Metrika 1 Physica A 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 International Journal of Intelligent Systems 1 Computational Mathematics and Modeling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 St. Petersburg Mathematical Journal 1 Journal of Difference Equations and Applications 1 Electronic Research Announcements of the American Mathematical Society 1 Izvestiya: Mathematics 1 Abstract and Applied Analysis 1 Stochastics and Dynamics 1 Nonlinear Analysis. Hybrid Systems 1 São Paulo Journal of Mathematical Sciences 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
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#### Cited in 26 Fields

 81 Ordinary differential equations (34-XX) 33 Dynamical systems and ergodic theory (37-XX) 15 Partial differential equations (35-XX) 11 Systems theory; control (93-XX) 5 Difference and functional equations (39-XX) 5 Operator theory (47-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Combinatorics (05-XX) 4 General topology (54-XX) 4 Probability theory and stochastic processes (60-XX) 3 Manifolds and cell complexes (57-XX) 3 Quantum theory (81-XX) 2 Algebraic geometry (14-XX) 2 Special functions (33-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX)

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