A study of nonlocal problems of impulsive integrodifferential equations with measure of noncompactness

Advances in Difference Equations

Kandasamy Malar¹  Bashir Ahmad²  Kulandhaivel Karthikeyan³ 

[1] Department of Mathematics, Erode Arts and Science College, Erode, India;Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, K.S.R. College of Technology, Tiruchengode, India

关键词: integrodifferential equation;    impulse;    semigroup;    mild solution;    fixed point;    measure of noncompactness;   

DOI  :  10.1186/1687-1847-2013-205

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we show the existence of mild solutions to a nonlocal problem of impulsive integrodifferential equations via a measure of noncompactness in a Banach space. Our work is based on a new fixed point theorem and it generalizes some existing results on the topic in the sense that we do not require the semigroup and nonlinearity involved in the problem to be compact.

【 授权许可】

CC BY