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Asymptotic analysis of the parametric instability of nonlinear hyperbolic equations Научная публикация

Журнал

Sbornik Mathematics
ISSN: 1064-5616 , E-ISSN: 1468-4802

Вых. Данные

Год: 2017, Том: 208, Номер: 8, Страницы: 1088-1112 Страниц : 25 DOI: 10.1070/SM8883

Ключевые слова

Averaging method; Hyperbolic equations; Parametric resonance

Авторы

Belonosov V.S. ^1,2

Организации

1	Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russian Federation
2	Novosibirsk State University, Russian Federation

This paper is concerned with parametric resonance under nonlinear periodic perturbations of differential equations which are abstract analogues of hyperbolic systems. A modification of the Krylov-Bogolyubov averaging method capable of circumventing the well-known small divisor problem is applied to reduce the description of solutions of perturbed equations at resonance to the study of autonomous dynamical systems in finite-dimensional spaces. © 2017 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.

Belonosov V.S.
Asymptotic analysis of the parametric instability of nonlinear hyperbolic equations
Sbornik Mathematics. 2017. V.208. N8. P.1088-1112. DOI: 10.1070/SM8883 WOS Scopus OpenAlex

Белоносов В.С.
Асимптотический анализ параметрической неустойчивости нелинейных гиперболических уравнений
Математический сборник. 2017. Т.208. №8. С.4-30. DOI: 10.4213/sm8883 OpenAlex

Web of science:	WOS:000413222800002
Scopus:	2-s2.0-85049165082
OpenAlex:	W2614372683

БД	Цитирований
Scopus	2
OpenAlex	2