PERIODICITY OF MILD SOLUTIONS TO HIGHER ORDER DIFFERENTIAL EQUATIONS IN BANACH SPACES

被引：0

作者：

Thanh Lan Nguyen ^{[1
]}

机构：

[1] Western Kentucky Univ, Dept Math, Bowling Green, KY 42101 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年

关键词：

Abstract Cauchy problems; Fourier series; periodic mild solutions; semigroups and cosine families;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give necessary and sufficient conditions for the periodicity of mild solutions to the the higher order differential equation u((n))(t) = Au(t) + f(t), 0 <= t <= T, in a Banach space E. Applications are made to the cases, when A generates a C-0-semigroup or a cosine family, and when E is a Hilbert space.

引用

页数：12

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