Аннотация
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.
Язык оригинала | английский |
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Страницы (с-по) | 1088-1112 |
Число страниц | 25 |
Журнал | Sbornik Mathematics |
Том | 208 |
Номер выпуска | 8 |
DOI | |
Состояние | Опубликовано - 1 янв 2017 |