利用锥不动点定理研究一类具有分布滞量的微分方程正周期解的存在性  

Using Cone Fixed Point Theorem to Study the Positive Periodic Solution for a Differential Equation with Distributed Delay

作　　者：姜小军[1] 牛秀艳[2] 王静[2] 郑国萍[2] 邸聪娜[2] 

机构地区：[1]北京联合大学教务处,北京100101 [2]河北科技师范学院数学与信息学院,河北秦皇岛066004

出　　处：《中央民族大学学报（自然科学版）》2011年第3期44-47,共4页Journal of Minzu University of China(Natural Sciences Edition)

基　　金：国家自然基金资助项目(No.60572104);北京自然科学基金项目(No.KM200710005017)

摘　　要：本文主要利用Green函数的性质,通过验证Krasnoselskii不动点定理中锥拉伸或锥压缩的条件来获得周期正解的存在性.通过使用Krasnoselskii锥不动点定理,研究了一类具有分布滞量的微分方程正周期解的存在性.In this article, we mainly use the property of the Green＇ s Functions to verify the coneexpansion and compression of Krasnoselskii cone fixed point theorem which＇had been applied to study the distributed delay functional differential equations. By using of the nature of Krasnoselskii fixed - Point theorem, we obtained the sufficient solutions for the existence of positive solutions. We acquired the existence of the positive periodic solution for a differential equation with distributed delay.

关 键 词：分布滞量 正周期解 锥不动点 微分方程 

分 类 号：O175[理学—数学]