一类一阶泛函微分方程非平凡周期解的存在性  

Existence of Nontrivial Periodic Solutions for a Class of First Order Nonlinear Functional Differential Equations

作　　者：佘志炜[1] 王全义[1] 

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2013年第4期460-465,共6页Journal of Huaqiao University(Natural Science)

基　　金：国务院侨办科研基金资助项目(09QZR10)

摘　　要：利用锥不动点定理及分析技巧,研究一类一阶时滞泛函微分方程非平凡周期解的存在性问题,得到该类方程存在非平凡周期解的充分条件.所得结果推广并改进了S.G.KANG和G.ZHANG的研究成果.In this paper,by employing fixed point theorem in cones and some analysis techniques,we study the problem on the existence of nontrivial periodic solutions for a class of first order nonlinear functional differential equations,and obtain some sufficient conditions which guarantee the existence of nontrivial periodic solutions for the equations.Our results extend and improve the research results made by S.G.KANG and G.ZHANG.

关 键 词：泛函微分方程 时滞 锥 不动点定理 非平凡 周期解 

分 类 号：O175[理学—数学]