On conditions for exponential dichotomy of systems of linear differential equations with periodic coefficients

被引：6

作者：

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

机构：

[1] Sobolev Inst Math, Acad Koptyug Ave 4, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, St Pirogov 2, Novosibirsk 630090, Russia

来源：

INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2016年 / 6卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

exponential dichotomy; Lyapunov differential equation; multipliers; periodic coefficients;

D O I：

10.1504/IJDSDE.2016.074581

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish new conditions for exponential dichotomy of systems of linear differential equations with periodic coefficients. The conditions are formulated in terms of solvability of a special boundary value problem for the Lyapunov differential equation. Estimates for the dichotomy parameters are obtained.

引用

页码：63 / 74

页数：12

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