文章基本信息

标题：Existence, uniqueness and stability of solutions to second order nonlinear differential equations with non-instantaneous impulses
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作者：Malik Muslim ; Malik Muslim ; Avadhesh Kumar 等
期刊名称：Journal of King Saud University - Science
印刷版ISSN：1018-3647
出版年度：2018
卷号：30
期号：2
页码：204-213
DOI：10.1016/j.jksus.2016.11.005
语种：English
出版社：Elsevier
摘要：AbstractIn this paper, we consider a non-instantaneous impulsive system represented by second order nonlinear differential equation with deviated argument in a Banach spaceX. We used the strongly continuous cosine family of linear operators and Banach fixed point method to study the existence and uniqueness of the solution of the non-instantaneous impulsive system. Also, we study the existence and uniqueness of the solution of the nonlocal problem and stability of the non-instantaneous impulsive system. Finally, we give examples to illustrate the application of these abstract results.
关键词：Non-instantaneous impulses;Deviated argument;Banach fixed point theorem