Pseudo asymptotically periodic solutions for Volterra integro-differential equations

被引：15

作者：

Xia, Zhinan ^{[1
]}

机构：

[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 05期

关键词：

pseudo S-asymptotically -periodic function; Volterra integro-differential equations; resolvent operator; mild solution; DIFFERENTIAL-EQUATIONS;

D O I：

10.1002/mma.3108

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a new class of functions called pseudo S-asymptotically -periodic function in the Stepanov sense and explore its properties in Banach spaces including composition results. Furthermore, the existence and uniqueness of the pseudo S-asymptotically -periodic mild solutions to Volterra integro-differential equations is investigated. Applications to integral equations arising in the study of heat conduction in materials with memory are shown. Copyright (c) 2014 John Wiley & Sons, Ltd.

引用

页码：799 / 810

页数：12

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