一类时滞脉冲微分方程的3个正周期解  

Three Positive Periodic Solutions to a Kind of Impulsive Differential Equations with Delay

作　　者：汪代明[1] 冯春华[2] 

机构地区：[1]阜阳师范学院数学与计算科学学院,安徽阜阳236041 [2]广西师范大学数学科学学院,广西桂林541004

出　　处：《吉林大学学报（理学版）》2011年第3期391-396,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10961005);安徽省高校自然科学研究项目(批准号:KJ2011Z290)

摘　　要：运用Leggett-Williams不动点定理研究一类含有时滞的脉冲微分方程的周期解,得到了其至少存在3个正周期解的新的充分条件.By means of the Leggett-Williams fixed point theorem,the existence of positive solutions was investigated for functional differential equations with impulses and delay,with new sufficient conditions for the existence of,at least,three positive periodic solutions about the differential equations obtained.

关 键 词：时滞微分方程 脉冲 不动点定理 周期解 存在性 

分 类 号：O175.14[理学—数学]