Existence of μ-pseudo almost periodic solutions to some evolution equations

被引：22

作者：

Miraoui, Mohsen ^{[1
]}

机构：

[1] Inst Preparatoire Etud Ingenieurs Kairouan, Cite Sidi Saad, Tunisia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 13期

关键词：

evolution family; exponential dichotomy; mu-pseudo almost periodic function; DIFFERENTIAL-EQUATIONS; UNIQUENESS;

D O I：

10.1002/mma.4339

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, a new approach for pseudo almost periodic solution under the measure theory, under Acquistpace-Terreni conditions. We make extensive use of interpolation spaces and exponential dichotomy techniques to obtain the existence of mu-pseudo almost periodic solutions to some classes of nonautonomous partial evolution equations. For illustration, we propose some application to a nonautonomous heat equation. Copyright (c) 2017 John Wiley & Sons, Ltd.

引用

页码：4716 / 4726

页数：11

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