一阶脉冲微分方程积分边值问题的上下解方法

journal6 ›› 2007, Vol. 28 ›› Issue (2): 11-15.

一阶脉冲微分方程积分边值问题的上下解方法

(1.吉首大学数学与计算机科学学院,湖南吉首 416000;2.湖南师范大学数学系,湖南长沙 410081)

出版日期:2007-03-25 发布日期:2012-06-18

Upper and Lower Solutions Method for First Order Impulsive Differential Equations with Integral Boundary Conditions

(1.College of Mathematics and Computer Science,Jishou University,Jishou 416000,Hunan China;2.Department of Mathematics,Hunan Normal University,Changsha 410081,China)

Online:2007-03-25 Published:2012-06-18
About author:CHEN Guo-ping(1964-),male,was born in Shaoyang City,Hunan Province,associate professor of College of Mathematics and Computer Science,Ph. D of Hunan Normal University;research area is qualitaive theory of differential equations.
Supported by:
The NNSF of China (10571050)；Key Project of Hunan Province Education Department (03A023)

摘要/Abstract

摘要：讨论了一类带积分边界条件的一阶脉冲微分方程极值解的存在性问题.在经典假设 α≤β下(α,β为对应方程的上下解),利用上下解方法组合单调迭代技术得到了极值解存在的充分条件.

关键词： 脉冲微分方程, 单调迭代技术, 积分边界条件

Abstract: This paper is concerned with the existence of extreme solutions of integral boundary conditions for a class of first order impulsive differential equations.In presence of a lower solution α and an upper solution β with the classical condition α≤β.The sufficient conditions are obtained for existence of extreme solutions by using upper and lower solutions method coupled with monotone iterative technique.

Key words: impulsive differential equation, monotone iterative technique, integral boundary condition

陈国平, 申建华. 一阶脉冲微分方程积分边值问题的上下解方法[J]. journal6, 2007, 28(2): 11-15.

CHEN Guo-Ping, SHEN Jian-Hua. Upper and Lower Solutions Method for First Order Impulsive Differential Equations with Integral Boundary Conditions[J]. journal6, 2007, 28(2): 11-15.

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