Banach空间脉冲微分方程初值问题的一种拟上下解方法  

A method of quasi-upper and lower solutions for initial value problems of impulsive differential equations in Banach spaces

作　　者：陈鹏玉[1] 李永祥[1] 

机构地区：[1]西北师范大学数学与信息科学学院,兰州730070

出　　处：《黑龙江大学自然科学学报》2010年第5期630-634,共5页Journal of Natural Science of Heilongjiang University

基　　金：甘肃省自然科学基金资助项目(0710RJZA103)

摘　　要：对Banach空间E中的脉冲微分方程初值问题引入了L-拟上下解的概念。在一定的单调性条件和非紧性测度条件下,通过构造L-拟上下解的单调迭代过程,获得了其最小、最大L-拟解对的存在性以及在最小、最大L-拟解对之间解的存在性。The concepts of L-quasi-upper and lower solutions are introduced for the initial value problem of the impulsive differential equation in Banach space E.Under certain monotonicity conditions and the non-compactness measure conditions,by using the monotone iteration scheme with L-quasi-upper and lower solutions,the minimum and maximum L-quasi-solutions of the problems is derived and the existence of solution for the problems between them is shown.

关 键 词：正规锥 L-拟上下解对 单调迭代方法 凝聚映射 初值问题 

分 类 号：O175.8[理学—数学]