中央民族大学学报：自然科学版
中央民族大學學報：自然科學版
중앙민족대학학보：자연과학판
Journal of The Central University for Nationalities(Natural Sciences Edition)
2011年
3期
44-47
,共4页
姜小军%牛秀艳%王静%郑国萍%邸聪娜
薑小軍%牛秀豔%王靜%鄭國萍%邸聰娜
강소군%우수염%왕정%정국평%저총나
分布滞量%正周期解%锥不动点%微分方程
分佈滯量%正週期解%錐不動點%微分方程
분포체량%정주기해%추불동점%미분방정
distributed delay%positive periodic solution%cone fixed point%differential equation
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．
本文主要利用Green函數的性質，通過驗證Krasnoselskii不動點定理中錐拉伸或錐壓縮的條件來穫得週期正解的存在性．通過使用Krasnoselskii錐不動點定理，研究瞭一類具有分佈滯量的微分方程正週期解的存在性．
본문주요이용Green함수적성질，통과험증Krasnoselskii불동점정리중추랍신혹추압축적조건래획득주기정해적존재성．통과사용Krasnoselskii추불동점정리，연구료일류구유분포체량적미분방정정주기해적존재성．
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.
