具无穷时滞中立型高维非线性系统的周期解  

The existence of periodic solutions to high order nonlinear neutral functional differential equations with infinite delay

作　　者：万舒丽[1] 杨建[1] 冯春华[1] 黄健民[1] 

机构地区：[1]广西师范大学数学科学学院,广西桂林541004

出　　处：《纯粹数学与应用数学》2009年第3期556-562,594,共8页Pure and Applied Mathematics

基　　金：国家自然科学基金(10461003);广西壮族自治区研究生教育创新基金(2008106020701M234)

摘　　要：通过构造算子利用Krasnoselskii不动点定理和线性系统的指数二分性讨论了一类具有无穷时滞非线性中立型高维周期微分系统的周期解存在性问题.得到保证系统存在周期解的新的充分条件.By means of the Krasnoselskii＇s fixed point theorem and exponential dichotomy of linear system, this paper investigates the existence of periodic solutions for a class of high order nonlinear neutral functional differential equations with infinite delay. A new set of sufficient conditions to guarantee the existence of periodic solutions of the system is obtained.

关 键 词：无穷时滞 中立型 周期解 不动点定理 存在性 

分 类 号：O175.1[理学—数学]