一类三阶泛函微分方程的周期解  

Periodic Solutions for a Class of Third Order Functional Differential Equations

作　　者：潘立军[1] 陈星荣[1] 

机构地区：[1]嘉应学院数学系,广东梅州514015

出　　处：《嘉应学院学报》2008年第3期29-33,共5页Journal of Jiaying University

摘　　要：利用重合度理论,研究了一类三阶泛涵微分方程x′″(t)+a1[x″(t)]k+a2[x′(t)]k+a3[x(t)]k+f(t,x(t),x(t-τ))=p(t)的周期解的存在性,得到了周期解存在的充分条件。In this paper, by using the coincicidence degree theory,we investigate periodic solutions for a class of third order functional differential equations x＇＇＇（t）＋a1[x＂（t）]^k＋a2[x＇（t）]^k＋a3[x（t）]^k＋f（t,x（t）,x（t-τ））=p（t）. Some sufficient conditions for the existence of periondie solution of the equations are obtained.

关 键 词：三阶泛涵微分方程 周期解 重合度 

分 类 号：O175.14[理学—数学]