Existence and uniqueness of pseudo-almost periodic solutions to some classes of partial evolution equations

被引：30

作者：

Diagana, Toka ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 66卷 / 02期

关键词：

almost periodic function; pseudo-almost periodic function; exponentially stable semigroup; existence and uniqueness of pseudo-almost periodic solutions; partial differential equations; heat equation;

D O I：

10.1016/j.na.2005.11.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some sufficient conditions for the existence and uniqueness of pseudo-almost periodic (mild) solutions to some classes of partial evolution equations are given. We then make use of our abstract results to discuss the existence of pseudo-almost periodic solutions to some partial differential equations. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：384 / 395

页数：12

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