一类泛函微分方程多个周期正解的存在性  

Existence of Multiple Periodic Solutions for a Kind of Functional Differential Equations

作　　者：武跃祥[1] 

机构地区：[1]山西财经大学应用数学系,太原030006

出　　处：《工程数学学报》2008年第2期302-306,共5页Chinese Journal of Engineering Mathematics

基　　金：山西高校科技研究开发项目2007.

摘　　要：本文利用Krasnoselskii锥映象不动点定理讨论了某类一阶泛函微分方程周期正解的存在性、非存在性与多解,给出了方程至少有一个解,有两个解或无解的若干充分条件。所得结果改进并推广了文献中的部分工作。In this paper, we study the existence, nonexistence and multiplicity of positive periodic solutions for a kind of functional differential equations by employing the fixed point theorem in cones, and give some sufficient conditions such that the equation has one or two or no positive periodic solutions. Our conclusions improve some related results.

关 键 词：泛函微分方程 锥映象 周期解 

分 类 号：O177.91[理学—数学]