Controllability of nonlocal impulsive functional differential equations with measure of noncompactness in Banach spaces

The Journal of Nonlinear Sciences and its Applications

article

D. N. Chalishajar¹  K. Karthikeyan²  D. Tamizharasan³ 

[1] Department of Applied Mathematics, Virginia Military Institute;Department of Mathematics&Centre for Research, Development, KPR Institute of Engineering;Department of Mathematics, KSR College of Technology

关键词: Controllability;    impulsive differential equations;    nonlocal conditions;    measure of non compactness;    fixed point theorem;   

DOI  :  10.22436/jnsa.014.06.03

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

This paper is concerned with the controllability of impulsive differential equations with nonlocal conditions. First, we establish a property of measure of noncompactness in the space of piecewise continuous functions. Then, by using this property and Darbo-Sadovskii's fixed point theorem, we get the controllability of nonlocal impulsive differential equations under compactness conditions, Lipschitz conditions, and mixed-type conditions, respectively.

【 授权许可】

Unknown