Weighted pseudo-almost periodic solutions to some differential equations

被引：89

作者：

Diagana, Toka ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 08期

关键词：

weight; pseudo-almost periodic; weighted pseudo-almost periodic; almost periodic; heat equation;

D O I：

10.1016/j.na.2007.01.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper considers some new classes of functions called weighted pseudo-almost periodic functions, which implement in a natural fashion the classical pseudo-almost periodic functions due to Zhang. Properties of these weighted pseudo-almost periodic functions are discussed, including a composition result for weighted pseudo-almost periodic functions. The results obtained are subsequently utilized to study the existence and uniqueness of a weighted pseudo-almost periodic solution to the heat equation with Dirichlet conditions. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2250 / 2260

页数：11

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