一类时滞周期模型正周期解的存在性

Existence of positive periodic solutions of a class of delay differential equations

研究时滞周期模型()()()(())()(())nn nx t v t x t x t ttx t t′+α?θ+?τ?τ=λ其中m、n是正整数,v(t),λ(t)是正周期函数,周期为ω,τ(t)为非负ω周期函数,获得方程存在一个正周期解的充分条件,推广改进了已有结果[Saker,Comput.Math.Appl.2002(44)623-632]。并举例说明了定理的应用。

In this paper, we studied the following delay differential equation model x′（t）＋α·v（t）x（t）x^n（t-τ（t））/θ^n＋x^n（t-τ（t））=λ（t） We establish sufficient conditions for the existence of positive periodic solutions of above model, Some known results are improved.