Existence for Semilinear Impulsive Differential Inclusions Without Compactness

被引：2
|
作者：
Luo, Yan [1 ]
机构：
[1] Hunan Univ Sci & Technol, Sch Math & Comp Sci, Xiangtan 411201, Peoples R China
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2020年 / 26卷 / 04期
关键词：
Semilinear impulsive differential inclusions; Existence; Fixed point theorem; BOUNDARY-VALUE PROBLEM; NONTRIVIAL SOLUTIONS; EQUATIONS;
D O I：
10.1007/s10883-019-09473-2
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we establish sufficient conditions on the existence of mild solutions for semilinear impulsive differential inclusions by using Glicksberg-Ky Fan fixed point theorem with weak topology technique. We do not require the compactness of the evolution operator generated by the linear part and of the multivalued nonlinear term. An example is also presented.
引用
收藏
页码：663 / 672
页数：10
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