Pseudo-almost-periodic solutions to some semilinear differential equations

被引：35

作者：

Diagana, T

Crépin, MM

N'Guérékata, GM

机构：

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

[2] Howard Univ, Dept Math, Washington, DC 20059 USA

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2006年 / 43卷 / 1-2期

关键词：

almost periodic function; fractional powers of operators; pseudo-almost-periodic function; infinitesimal generator of an analytic semigroup; existence and uniqueness of pseudo-almost-periodic solutions;

D O I：

10.1016/j.mcm.2005.04.013

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We study the existence and uniqueness of pseudo-almost-periodic solutions to semilinear differential equations of the form u'(t) + Au(t) = f (t, u (t)), where -A is the infinitesimal generator of an analytic semigroup acting on a (complex) Banach space X, and f : R x X -> X is a jointly continuous function. Under some additional assumptions on A and f, the existence and uniqueness of a pseudo-almostperiodic (classical) solution to (*) is obtained by using both fractional powers of operators and the Banach's fixed-point principle. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：89 / 96

页数：8

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