Systems of differential equations with periodic coefficients

被引：0

作者：

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

机构：

[1] Sobolev Institute of Mathematics, Novosibirsk, 630090

[2] Novosibirsk State University, Novosibirsk, 630090

来源：

Journal of Applied and Industrial Mathematics | 2014年 / 8卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

exponential dichotomy; Green's matrix; periodic coefficients; perturbation; projection; Sobolev space;

D O I：

10.1134/S1990478914010037

中图分类号：

学科分类号：

摘要：

We consider linear systems of differential equations with periodic coefficients. We prove the solvability of nonhomogeneous systems in the Sobolev space W 2 1(R) and establish estimates for the solutions. This result implies a perturbation theorem for the exponential dichotomy of systems of differential equations with periodic coefficients. © 2014 Pleiades Publishing, Ltd.

引用

页码：20 / 27

页数：7

共 7 条

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[3]

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[4]

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