Mishchenko, E. F. (Evgeniĭ Frolovich)
Overview
Works:  167 works in 386 publications in 3 languages and 2,358 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Dedicatee, Redactor, Publishing director, Contributor, Other, Translator 
Publication Timeline
.
Most widely held works by
E. F Mishchenko
Differential equations with small parameters and relaxation oscillations by
E. F Mishchenko(
Book
)
13 editions published in 1980 in English and held by 360 WorldCat member libraries worldwide
A large amount of work has been done on ordinary differ ential equations with small parameters multiplying deriv atives. This book investigates questions related to the asymptotic calculation of relaxation oscillations, which are periodic solutions formed of sections of both sl and fastmotion parts of phase trajectories. A detailed discussion of solutions of differential equations involving small parameters is given for regions near singular points. The main results examined were obtained by L.S. Pontryagin and the authors. Other works have also been taken into account: A.A. Dorodnitsyn's investigations of Van der Pol's equation, results obtained by N.A. Zheleztsov and L.V. Rodygin concerning relaxation oscillations in electronic devices, and results due to A.N. Tikhonov and A.B. Vasil'eva concerning differential equations with small parameters multiplying certain derivatives. E.F. Mishchenko N. Kh. Rozov v CONTENTS Chapter I. Dependence of Solutions on Small Parameters. Applications of Relaxation Oscillations 1. Smooth Dependence. Poincare's Theorem . 1 2. Dependence of Solutions on a Parameter, on an Infinite Time Interval 3 3. Equations with Small Parameters 4 Multiplying Derivatives 4. SecondOrder Systems. Fast and Slow Motion
13 editions published in 1980 in English and held by 360 WorldCat member libraries worldwide
A large amount of work has been done on ordinary differ ential equations with small parameters multiplying deriv atives. This book investigates questions related to the asymptotic calculation of relaxation oscillations, which are periodic solutions formed of sections of both sl and fastmotion parts of phase trajectories. A detailed discussion of solutions of differential equations involving small parameters is given for regions near singular points. The main results examined were obtained by L.S. Pontryagin and the authors. Other works have also been taken into account: A.A. Dorodnitsyn's investigations of Van der Pol's equation, results obtained by N.A. Zheleztsov and L.V. Rodygin concerning relaxation oscillations in electronic devices, and results due to A.N. Tikhonov and A.B. Vasil'eva concerning differential equations with small parameters multiplying certain derivatives. E.F. Mishchenko N. Kh. Rozov v CONTENTS Chapter I. Dependence of Solutions on Small Parameters. Applications of Relaxation Oscillations 1. Smooth Dependence. Poincare's Theorem . 1 2. Dependence of Solutions on a Parameter, on an Infinite Time Interval 3 3. Equations with Small Parameters 4 Multiplying Derivatives 4. SecondOrder Systems. Fast and Slow Motion
Asymptotic methods in singularly perturbed systems by
E. F Mishchenko(
Book
)
9 editions published in 1994 in English and held by 171 WorldCat member libraries worldwide
9 editions published in 1994 in English and held by 171 WorldCat member libraries worldwide
Topology, ordinary differential equations, dynamical systems by
E. F Mishchenko(
Book
)
15 editions published between 1985 and 1987 in English and Russian and held by 169 WorldCat member libraries worldwide
15 editions published between 1985 and 1987 in English and Russian and held by 169 WorldCat member libraries worldwide
Theoretical and mathematical physics(
Book
)
1 edition published in 1988 in English and held by 148 WorldCat member libraries worldwide
1 edition published in 1988 in English and held by 148 WorldCat member libraries worldwide
Differential equations and dynamical systems : collected papers dedicated to the 80th birthday of academician Evgenii Frolovich
Mishchenko by
E. F Mishchenko(
Book
)
20 editions published between 2002 and 2010 in English and held by 129 WorldCat member libraries worldwide
20 editions published between 2002 and 2010 in English and held by 129 WorldCat member libraries worldwide
Relaxation oscillations in mathematical models of ecology by
A. I︠U︡ Kolesov(
Book
)
3 editions published between 1993 and 1995 in English and held by 120 WorldCat member libraries worldwide
3 editions published between 1993 and 1995 in English and held by 120 WorldCat member libraries worldwide
The mathematical theory of optimal processes by
L. S Pontri︠a︡gin(
Book
)
6 editions published between 1962 and 1984 in English and held by 91 WorldCat member libraries worldwide
6 editions published between 1962 and 1984 in English and held by 91 WorldCat member libraries worldwide
Dynamical systems and related topics : collected papers in honor of sixtieth birthday of academician Dmitrii Viktorovich Anosov by
A. A Bolibrukh(
Book
)
7 editions published in 1997 in English and held by 81 WorldCat member libraries worldwide
7 editions published in 1997 in English and held by 81 WorldCat member libraries worldwide
Differential equations : certain mathematical problems of optimal control : collected papers by
E. F Mishchenko(
Book
)
8 editions published between 2000 and 2001 in English and held by 81 WorldCat member libraries worldwide
8 editions published between 2000 and 2001 in English and held by 81 WorldCat member libraries worldwide
Analytic number theory and applications : collected papers in honor of sixtieth birthday of Professor Anatolii Alexeevich
Karatsuba by
O. B Lupanov(
Book
)
6 editions published in 1997 in English and held by 79 WorldCat member libraries worldwide
6 editions published in 1997 in English and held by 79 WorldCat member libraries worldwide
Asymptotic methods of investigation of periodic solutions of nonlinear hyperbolic equations by
A. I︠U︡ Kolesov(
Book
)
9 editions published in 1998 in English and held by 74 WorldCat member libraries worldwide
9 editions published in 1998 in English and held by 74 WorldCat member libraries worldwide
Dynamical systems, automata, and infinite groups : collected papers by
R. I Grigorchuk(
Book
)
6 editions published in 2000 in English and held by 67 WorldCat member libraries worldwide
6 editions published in 2000 in English and held by 67 WorldCat member libraries worldwide
Théorie mathématique des processus optimaux by
L. S Pontri︠a︡gin(
Book
)
2 editions published in 1974 in French and held by 66 WorldCat member libraries worldwide
2 editions published in 1974 in French and held by 66 WorldCat member libraries worldwide
Complex analysis, and applications : collected papers(
Book
)
6 editions published in 2006 in English and held by 48 WorldCat member libraries worldwide
6 editions published in 2006 in English and held by 48 WorldCat member libraries worldwide
Nonlinear analytic differential equations : collected papers by
E. F Mishchenko(
Book
)
4 editions published in 2006 in English and held by 45 WorldCat member libraries worldwide
4 editions published in 2006 in English and held by 45 WorldCat member libraries worldwide
Dynamical systems and optimization : collected papers dedicated to the 70th birthday of academician Dimitrii Viktorovich Anosov(
Book
)
5 editions published between 2004 and 2007 in English and held by 41 WorldCat member libraries worldwide
5 editions published between 2004 and 2007 in English and held by 41 WorldCat member libraries worldwide
Theoretical and mathematical physics : collection of survey papers 3 on the 50th anniversary of the Institute(
Book
)
6 editions published in 1988 in English and held by 29 WorldCat member libraries worldwide
6 editions published in 1988 in English and held by 29 WorldCat member libraries worldwide
Different︠s︡ialʹnye uravnenii︠a︡ s malym parametrom i relaksat︠s︡ionnye kolebanii︠a︡ by
E. F Mishchenko(
Book
)
3 editions published in 1975 in Russian and held by 25 WorldCat member libraries worldwide
3 editions published in 1975 in Russian and held by 25 WorldCat member libraries worldwide
Differential equations and topology : collected papers in commemoration of the centenary of the birth of academician Lev Semenovich
Pontryagin(
Book
)
7 editions published in 2010 in English and held by 23 WorldCat member libraries worldwide
7 editions published in 2010 in English and held by 23 WorldCat member libraries worldwide
Singularities and applications : collected papers(
Book
)
4 editions published in 2009 in English and held by 21 WorldCat member libraries worldwide
4 editions published in 2009 in English and held by 21 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Rozov, N. Kh (Nikolaĭ Khristovich) 1938
 Pontriaguine, Lev Semenovitch (19081988) Other Honoree Author Dedicatee
 Kolesov, A. I︠U︡ Author
 Gamkrelidze, Revaz Valerianovich (1927 ...) Other Honoree Contributor Editor
 Boltânskij, Vladimir Grigorʹevič (1925 ...) Other Contributor
 Vladimirov, V. S. (Vasiliĭ Sergeevich) Editor
 Matematicheskiĭ institut im. V.A. Steklova
 Gushchin, A. K. Editor
 Anosov, D. V. Honoree Author
 Kolesov, I︠U︡. S. (I︠U︡riĭ Serafimovich)
Useful Links
Associated Subjects
Anosov, D. V Calculus, Operational Control theory Differentiable dynamical systems Differential equations Differential equations, Hyperbolic Differential equations, HyperbolicNumerical solutions Differential equations, Nonlinear Differential equations, NonlinearAsymptotic theory Differential equationsAsymptotic theory Differential equationsNumerical solutions EcologyMathematical models Geometry, Algebraic Infinite groups Karat︠s︡uba, Anatoliĭ Alekseevich Linear programming Machine theory Mathematical analysis Mathematical optimization Mathematical physics Mathematics Maxima and minima Number theory Oscillations Relaxation methods (Mathematics) Singularities (Mathematics) System analysis Topology
Alternative Names
Evgeniy Frolovitsj Misjtsjenko Russisch wiskundige (19222010)
Evgeny Mishenko Russian mathematician
Jewgeni Frolowitsch Mischtschenko russischer Mathematiker
Michtchenko, E.
Miščenko, E. F. 1922
Miščenko, Evgenij Frolovič
Miščenko, Evgenij Frolovič 1922
Miščenko, Evgenij Frolovič. [t]
Miŝenko, E. F.
Mishchenko E.F.
Mishchenko, E. F. 1922
Mishchenko, Evgenii F.
Mishchenko, Evgenii F. 1922
Mishchenko, Evgeniĭ Frolovich
Mishchenko, Evgenii Frolovich 1922
Γιεβγκένι Μιστσένκο
Мищенко Е.Ф.
Мищенко, Е. Ф. (Евгений Фролович)
Мищенко, Евгений Фролович 1922...
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