ALMOST PERIODIC AND PSEUDO ALMOST PERIODIC MILD SOLUTIONS TO A PARTIAL DIFFERENTIAL EQUATION VIA FRACTIONAL OPERATORS

被引：7

作者：

Chang, Yong-Kui ^{[1
]}

Zhao, Zhi-Han ^{[2
]}

Nieto, Juan J. ^{[3
]}

机构：

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

[2] Sanming Univ, Inst Math & Informat Engn, Sanming, Fuijan, Peoples R China

[3] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela, Spain

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2011年 / 32卷 / 12期

关键词：

Almost periodic; Existence and uniqueness; Fractional powers of operators; Pseudo almost periodic; EXISTENCE; DELAY;

D O I：

10.1080/01630563.2011.595565

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is mainly concerned with the existence and uniqueness of almost periodic and pseudo almost periodic mild solutions to a class of partial differential equations in Banach spaces. Under some reasonable assumptions, the main results are proved in alpha-norm. Our results cover the cases that the functions F-1; F-2 take values in different spaces such as X, X-alpha, and X-beta, where alpha <= beta is an element of (0; 1).

引用

页码：1219 / 1238

页数：20

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