一阶脉冲泛函微分方程非线性边值问题  

Nonlinear Boundary Value Problems of First-order Impulsive Functional Differential Equations

作　　者：姚美萍[1] 赵爱民[1] 

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《数学的实践与认识》2009年第12期260-264,共5页Mathematics in Practice and Theory

基　　金：山西省自然科学基金(2007011001;2009021001-1);数学天元青年基金(10826080);山西大学青年科技基金(2007102)

摘　　要：考虑一阶脉冲泛函微分方程非线性边值问题,利用上下解方法和单调迭代技术得到了耦合解和唯一解存在的充分条件.所得结果改进和推广了文献的相关结果.Consider nonlinear boundary value problems of first-order impulsive functional differential equations. By using the method of upper and lower solutions coupled with monotone iterative technique, existence of couple solutions and unique solution are obtained. The results improve the corresponding results of the literature.

关 键 词：脉冲泛函微分方程 非线性边值问题 耦合解 单调迭代技术 

分 类 号：O175.8[理学—数学]