二阶脉冲微分方程组四点边值问题非负解的存在性  

Existence of nonnegative solutions of four-point boundary value problem for second-order system of impulsive differential equations

作　　者：卢振花[1] 刘锡平[1] 沈立[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2011年第2期179-183,共5页Journal of University of Shanghai For Science and Technology

基　　金：上海市教育委员会科研创新项目(10ZZ93)

摘　　要：运用Leggett-Williams不动点定理,研究了二阶脉冲微分方程组四点边值问题非负解的存在性,得到了边值问题3个非负解存在的充分条件.Based on Leggett-Williams fixed-point theorem,the existence of nonnegative solutions of four-point boundary value problem for second-order system of impulsive differential equations was studied.The sufficient conditions for the existence of three nonnegative solutions of the boundary value problem were presented.

关 键 词：脉冲微分方程组 四点边值问题 非负解 不动点定理 

分 类 号：O175.8[理学—数学]