华侨大学学报（自然科学版）2009，Vol.30Issue(6)：709-714,6.
一类具有偏差变元的二阶泛函微分方程周期解
Periodic Solutions for a Class of Second Order Functional Differential Equations with a Deviating Argument
摘要
Abstract
In this paper,by means of Mawhin's continuation theorem,we study the problem on the existence of periodic solutions for the second order differential equations with a deviating argument x″+f(t,x′(t))+g(t,x(t-τ(t)))=p(t),where f,g∈C(R×R,R),and for any x∈R,g(t+ω,x)=g(t,x),p∈C(R,R);and τ∈C(R,R) arecω-periodic.Without the condition f(t,y)≤0(f(t,y)≥0) for all y∈R and t∈R,we obtain some sufficient conditions on the existence of at least one periodic solution for this equation.关键词
泛函微分方程/周期解/重合度/偏差变元Key words
functional differential equation/periodic solution/coincidence degree/deviating argument分类
数理科学引用本文复制引用
佘志炜,王全义..一类具有偏差变元的二阶泛函微分方程周期解[J].华侨大学学报（自然科学版）,2009,30(6):709-714,6.基金项目
福建省自然科学基金资助项目 (Z0511026) （Z0511026）
