Existence of anti-periodic mild solutions to semilinear nonautonomous evolution equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:425

Article

Liu, Jinghuai¹  Song, Xiaoqiu²  Zhang, Litao¹ 

[1] Zhengzhou Inst Aeronaut Ind Management, Dept Math & Phys, Zhengzhou 450015, Peoples R China

[2] China Univ Min & Technol, Coll Sci, Xuzhou 221008, Peoples R China

关键词: Anti-periodic function;    Hille-Yosida operators;    Evolution family;    Mild solutions;    Semi linear nonautonomous evolution equation;   

DOI  :  10.1016/j.jmaa.2014.12.043

来源: Elsevier

【 摘 要 】

In this paper, applying the theory of evolution family and Schauder's fixed point theorem, we prove the anti-periodic mild solutions for semilinear nonautonomous evolution equations in Banach space under conditions. Furthermore, an example is given to illustrate our results. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free