具参数的非线性中立泛函微分方程三个反周期解的存在性(英文)  

Three Anti-periodic Solutions of Nonlinear Neutral Functional Differential Equations with Variable Parameter

作　　者：郑兆岳[1] 王奇[2] 

机构地区：[1]安徽工贸职业技术学院基础部,安徽淮南232007 [2]安徽大学数学学院,安徽合肥230601

出　　处：《应用数学》2013年第1期198-204,共7页Mathematica Applicata

基　　金：Supported by the Anhui Provincial Nature Science Foundation(090416237,1208085MA13);the Research Fund for the Doctoral Program of Higher Education(20103401120002,20113401110001);the 211 Project of Anhui University(02303129,KJTD002B,02303303-33030011,02303902-39020011);the Foundation of Anhui Education Bureau(KJ2012A019)

摘　　要：本文考虑一类具参数的非线性中立泛函微分方程,利用Leggett-Williams不动点定理得到该方程三个反周期解的存在充分条件.In this paper, a type of nonlinear neutral functional differential equations with variable parameter are considered. Some results on the existence of three positive anti-periodic solutions are obtained by using the Leggett-Williams fixed point theorem.

关 键 词：中立泛函微分方程 反周期解 Leggett—Williams不动点定理 

分 类 号：O175.7[理学—数学]