On the Existence of Periodic Solutions to One Class of Systems of Nonlinear Differential Equations

被引：2

作者：

Demidenko, G., V ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2021年 / 42卷 / 14期

基金：

俄罗斯基础研究基金会;

关键词：

periodic solutions; exponential dichotomy; projectors; Lyapunov equation; Sobolev spaces;

D O I：

10.1134/S1995080222020044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A class of systems of nonlinear differential equations is considered. It is assumed that the linear part of the system has constant coefficients and is exponentially dichotomous. Conditions for the existence of periodic solutions are established and their stability is proved for small perturbations of the coefficients of the linear part and nonlinear terms.

引用

页码：3336 / 3343

页数：8

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