Existence of pseudo-almost automorphic solutions to some abstract differential equations with Sp-pseudo-almost automorphic coefficients

被引：51

作者：

Diagana, Toka ^{[1
]}

机构：

[1] Howard Univ, Dept Math, Washington, DC 20005 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 11期

关键词：

Pseudo-almost periodicity; Almost automorphic; Pseudo-almost automorphic; S-p-pseudo-almost automorphic; S-p-almost automorphic; S-p-pseudo-almost periodic; STEPANOV-LIKE; EVOLUTION-EQUATIONS;

D O I：

10.1016/j.na.2008.07.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper introduces and studies the notion of S-p-pseudo-almost automorphy (or Stepanov-like pseudo-almost automorphy), which generalizes in a natural fashion the concept of pseudo-almost automorphy that was recently introduced in the literature by Liang, Xiao and Zhang. We next obtain the existence of pseudo-almost automorphic solutions to some differential equations with S-p-pseudo-almost automorphic coefficients. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3781 / 3790

页数：10

共 15 条

[11] Some properties of pseudo-almost automorphic functions and applications to abstract differential equations [J].