一阶脉冲微分方程边值问题的解  

Solutions to Boundary Value Problems in First-order Impulsive Differential Equations

作　　者：孙玉虎[1] 王东兴[1] 

机构地区：[1]中国矿业大学徐海学院,江苏徐州221008

出　　处：《淮海工学院学报（自然科学版）》2012年第2期4-8,共5页Journal of Huaihai Institute of Technology:Natural Sciences Edition

摘　　要：结合当前非线性泛函分析中的研究热点——脉冲微分方程边值问题,讨论了两类一阶脉冲微分方程边值解存在性问题.主要利用算子理论、Leary-Schauder拓扑度理论方法得出两类微分方程边值解的存在性定理,最后通过实例来验证所得结论在研究脉冲方程中的有效应用.The value problem in impulsive differential equations is a hot issue in researches on nonlinear functional analysis. We used the operator theory and the Leary-Schauder theory to study the existence of two types of solutions for the boundary value problems in first-order impul- sive differential equations. And we used an example to verify the effectiveness of the application of the conclusion in pulsed equations.

关 键 词：脉冲微分方程 Leray-Schauder度定理 边值问题 

分 类 号：O177.91[理学—数学]