Existence of weighted pseudo-almost periodic solutions to some classes of differential equations with Sp-weighted pseudo-almost periodic coefficients

被引：52

作者：

Diagana, Toka ^{[2
]}

Mophou, Gisele M. ^{[3
]}

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

机构：

[1] Morgan State Univ, Dept Math, 1700 E Cold Spring Lane, Baltimore, MD 21251 USA

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

[3] Univ Antilles Guyane, Dept Math & Informat, F-97159 Pointe A Pitre, Guadeloupe, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 01期

关键词：

Pseudo-almost periodicity; Stepanov-like weighted pseudo-almost periodicity; Almost periodic; S-p-weighted pseudo-almost periodic; Intermediate spaces; Heat equation; Divergence;

D O I：

10.1016/j.na.2009.06.077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce the concept of weighted pseudo-almost periodicity in the sense of Stepanov, also called S-p-weighted pseudo-almost periodicity and study its properties. Next, we present a result on the existence of weighted pseudo-almost periodic solutions to the N-dimensional heat equation with S-p-weighted pseudo-almost periodic coefficients. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：430 / 438

页数：9

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