On the existence of impulsive neutral evolution differential inclusions with infinite delay

Advances in Difference Equations

Chin-Tzong Pang¹  Hsiang Liu²  Kai-Biao Lin³ 

[1] Department of Information Management, Innovation Center for Big Data and Digital Convergence, Yuan Ze University, Chung-Li, Taiwan;Department of Information Management, Yuan Ze University, Chung-Li, Taiwan;School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, China

关键词: condensing mapping;    evolution family;    fixed point principle;    impulsive neutral evolution differential inclusions;    infinite delay;    measure of noncompactness;    34K30;    34K40;    34G25;    47H04;    47H10;   

DOI  :  10.1186/s13662-015-0727-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we use a fixed point principle regarding a condensing mapping with some measure of noncompactness. We assume there is no compactness assumption, and we give sufficient conditions for the existence of mild solutions to some classes of impulsive neutral evolution differential inclusions with infinite delay. A concrete example is presented in the end to illustrate the abstract theorem.

【 授权许可】

CC BY