Controllability of Second-Order Impulsive Nonlocal Cauchy Problem Via Measure of Noncompactness
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- 作者：V. Vijayakumar ; R. Murugesu ; R. Poongodi…
- 关键词：Controllabiliy ; second ; order abstract Cauchy problem ; impulsive systems ; nonlocal conditions ; measure of noncompactness
- 刊名：Mediterranean Journal of Mathematics
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：14
- 期：1
- 全文大小：
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics, general;
- 出版者：Springer International Publishing
- ISSN：1660-5454
- 卷排序：14
文摘
In this article, we consider a class of second-order impulsive evolution differential equations with nonlocal conditions. This article deals with the nonlocal controllability for a class of second-order evolution impulsive control systems. We prove some sufficient conditions for controllability using the measure of noncompactness and Mönch fixed point theorem. Very particularly we do not assume that the evolution system generates a compact semigroup. Finally, an example is given to represent the obtained theory.