Behavior of bounded solutions for some almost periodic neutral partial functional differential equations

被引：6

作者：

Dads, El Hadi Ait ^{[1
]}

Es-sebbar, Brahim ^{[1
]}

Ezzinbi, Khalil ^{[1
]}

Ziat, Mohamed ^{[1
]}

机构：

[1] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, BP 2390, Marrakech, Morocco

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 07期

关键词：

Stepanov almost periodic functions; bounded solutions; almost periodic solutions; semigroup; neutral functional differential equations; AUTOMORPHIC SOLUTIONS; EVOLUTION-EQUATIONS; ASYMPTOTIC-BEHAVIOR; STEPANOV-LIKE; FAVARD THEORY; THEOREM; PROPERTY;

D O I：

10.1002/mma.4145

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a Bochner type characterization for Stepanov almost periodic functions, and we prove a new result about the integration of almost periodic functions. This result is then used together with a reduction principle to investigate the nature of bounded solutions of some almost periodic partial neutral functional differential equations. More specifically, we prove that all bounded solutions on R are almost periodic. Copyright (c) 2016 John Wiley & Sons, Ltd.

引用

页码：2377 / 2397

页数：21

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