Banach空间混合型一阶奇异脉冲微分-积分方程初值问题的正解被引量：1

Positive Solutions for Singular first Order Impulsive Integro-differential Equation of Mixed Type in a Banach Space

导出

摘要通过构造一个特殊的闭凸集,利用著名的Mnch不动点定理,在Banach空间中获得了一类奇异脉冲微分-积分方程正解的存在性,所使用的方法本质上不同于已有文献. By constructing a special closed convex set and using the Mónch fixed point theorem, we obtained the existence theorem of positive solution for first order singular impulsive integro-differential equation of mixed type in Banach space. The method used here is different in essence from that in the literature.

作者张兴秋

机构地区聊城大学数学科学学院

出处《数学的实践与认识》 CSCD 北大核心 2008年第12期163-171,共9页 Mathematics in Practice and Theory

基金国家自然科学基金资助项目(10671167) 聊城大学科研启动基金(31805)

关键词奇异脉冲初值问题正解不动点定理 singular impulsive IVP positive solution Mónch fixed point theorem

分类号 O175.8 [理学—基础数学]

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参考文献11

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