| Banach空间非线性二阶混合型脉冲积分-微分方程的解 |
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| 引用本文： | 王信峰,陈玉花,张莉. Banach空间非线性二阶混合型脉冲积分-微分方程的解[J]. 数学的实践与认识, 2017, 0(4): 266-272 |
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| 作者姓名： | 王信峰 陈玉花 张莉 |
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| 作者单位： | 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 |
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| 基金项目： | 北京市自然科学基金(1152002) |
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| 摘 要： | 利用Mnch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.
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| 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 |
Solutions of Nonlinear Second Order Impulsive Integro-Differential Equations of Mixed Type in Banach Spaces |
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| WANG Xin-feng,CHEN Yu-hua,ZHANG Li. Solutions of Nonlinear Second Order Impulsive Integro-Differential Equations of Mixed Type in Banach Spaces[J]. Mathematics in Practice and Theory, 2017, 0(4): 266-272 |
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| Authors: | WANG Xin-feng CHEN Yu-hua ZHANG Li |
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| Abstract: | 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. |
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| Keywords: | Impulsive integro-differential equation initial value problem Banach space fixed point impulsive integral inequality |
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