EXISTENCE OF μ-PSEUDO ALMOST AUTOMORPHIC SOLUTIONS TO ABSTRACT PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

被引：3

作者：

Chang, Yong-Kui ^{[1
,3
]}

N'Guerekata, G. M. ^{[2
]}

Zhang, Rui ^{[3
]}

机构：

[1] Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China

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

[3] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2016年 / 6卷 / 03期

关键词：

mu-pseudo almost automorphic functions; mu-Stepanov-like pseudo almost automorphic functions; functional differential equations with infinity; fixed point theorem; SEMILINEAR EVOLUTION-EQUATIONS; WEIGHTED PSEUDO; BANACH-SPACES; STEPANOV-LIKE;

D O I：

10.11948/2016043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we introduce and investigate the concept of Stepanov-like pseudo almost automorphic functions of class h and class infinity via measure theory. We present new results on completeness and composition theorems for the space of such functions. To illustrate our main results, we provide some applications to an abstract partial neutral functional differential equation with infinite delay.

引用

页码：628 / 664

页数：37

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