Banach空间非线性二阶混合型脉冲积分-微分方程的解  

Solutions of Nonlinear Second Order Impulsive Integro-Differential Equations of Mixed Type in Banach Spaces

作　　者：王信峰[1] 陈玉花[2] 张莉[1] 

机构地区：[1]北京联合大学基础部,北京100101 [2]北京联合大学应用科技学院,北京100101

出　　处：《数学的实践与认识》2017年第4期266-272,共7页Mathematics in Practice and Theory

基　　金：北京市自然科学基金(1152002)

摘　　要：利用Mnch不动点定理以及一个脉冲积分不等式,研究二阶混合型脉冲积分-微分方程初值问题解的存在性.结果涉及右端项既包含导数又包含积分算子Sx的情形.最后给出了一个应用例子.In this paper, by the Monch＇s _fixed point theorem and an impulsive integral inequality, we establish the existence of solutions of initial value problems for nonlinear second order impulsive integro-differential equations of mixed-type in Banach spaces. It is desirable that our results involve the right item f with both the derivative and the linear integral operator Sx. An example is given to demonstrate our result.

关 键 词：脉冲积分-微分方程 初值问题 BANACH空间 不动点 脉冲积分不等式 

分 类 号：O175[理学—数学]