一类时滞微分方程的ω-周期正解

Positive Periodic Solutions for a Class of Delay Differential Equations

考虑一类具有时滞的泛函微分方程x'(t)=-a(t)g(x(t))x(t)+λb(t)f(t,x(t-τ(t)))周期解的存在性问题,通过利用泛函分析方法研究此类方程,获得其周期解存在充分条件,得到两个新的定理,这些定理推广了已有的结果。

This paper we consider a class of delay differential equation x＇（t）=-a（t）g（x（t））x（t）＋λb（t）f（t,x（t-τ（t））） Periodic solution existence, through the use of functional analysis method for such equations, and obtain existence of Positive periodic solutions of the sufficient condition.