Almost periodic solutions to abstract semilinear evolution equations with Stepanov almost periodic coefficients

被引：0

作者：

Ding, Hui-Sheng ^{[2
]}

Long, Wei ^{[2
]}

N'Guerekata, Gaston M. ^{[1
]}

机构：

[1] Morgan State Univ, Dept Math, Baltimore, MD 21251 USA

[2] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2011年 / 13卷 / 02期

关键词：

almost periodic; Stepanov almost periodic; semilinear evolution equations; Banach space; AUTOMORPHIC-FUNCTIONS;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, almost periodicity of the abstract semilinear evolution equation u'(t) = A(t)u(t) f(t, u(t)) with Stepanov almost periodic coefficients is discussed. We establish a new composition theorem of Stepanov almost periodic functions; and, with its help, we study the existence and uniqueness of almost periodic solutions to the above semilinear evolution equation. Our results are even new for the case of A(t) equivalent to A.

引用

页码：231 / 242

页数：12

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