Stepanov-like pseudo-almost periodicity and its applications to some nonautonomous differential equations

被引：62

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 / 69卷 / 12期

关键词：

Almost periodic; Pseudo-almost periodic; Stepanov-like pseudo-almost periodicity;

D O I：

10.1016/j.na.2007.10.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper revisits the concept of S(p)-pseudo-almost periodicity recently introduced by the author. In particular, we study the existence of pseudo-almost periodic solutions to some nonautonomous differential equations in the case when the semilinear forcing term is both continuous and S(p)-pseudo-almost periodic for p > 1. Applications include the existence of pseudo-almost periodic solutions to the heat equation with a forcing term, which is S(p)-pseudo-almost periodic and jointly continuous. (C) 2007 Elsevier Ltd All rights reserved.

引用

页码：4277 / 4285

页数：9

共 17 条

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[2]

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