一阶脉冲泛函微分方程周期边值问题的正解  

Positive solution of periodic boundary value problems for first order functionaldifferential equations with impulses

作　　者：张素平[1] 

机构地区：[1]安徽建筑工业学院数理系,合肥230601

出　　处：《安徽建筑工业学院学报（自然科学版）》2010年第3期111-114,共4页Journal of Anhui Institute of Architecture(Natural Science)

摘　　要：利用范数形式的锥拉伸和锥压缩不动点定理讨论一阶脉冲泛函微分方程的周期边值问题,首先给出证明本文主要结果要用到的主要引理,然后给出了这类方程正周期解存在性的判别条件。By using a fixed point theorem on cone compression and expansion of norm type,the author disscuss the periodic boundary value problem for first order functional differential equations with impulses,Firstly,some lemmas which will be used in this paper are stated.Then some results on the existence of positive periodic solution to the equation are obtained.

关 键 词：泛函微分方程 脉冲 周期边值问题 不动点定理 

分 类 号：O175[理学—数学]