Impulsive differential equations with nonlocal conditionsin general Banach spaces

Advances in Difference Equations

Lanping Zhu¹  Qixiang Dong¹  Gang Li¹ 

[1] School of Mathematics, Yangzhou University, Yangzhou, China

关键词: impulsive differential equations;    measure of noncompactness;    fixed point theorem;    mild solutions;   

DOI  :  10.1186/1687-1847-2012-10

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This article is concerned with impulsive semilinear differential equations with nonlocal initial conditions in Banach spaces. The approach used is fixed point theorem combined with the technique of operator transformation. Existence results are obtained when the nonlocal item is Lipschitz continuous. An example is also given to illustrate the obtained theorem. AMS classification: 34G10; 47D06.

【 授权许可】

CC BY