一类高阶中立型泛函微分方程周期解的存在性

Existenc of Periodic Solutions for Third Order Neutral Delay Equations

研究了一类高阶非线性中立型泛函微分方程x^((2n))(t)+cx^((2n))(t-τ)+f(x)x′+bx(t)+g(x(t-σ))=p(t)周期解的存在性,利用分析技巧结合重合度理论给出了该方程存在周期解的充分性定理.

In this paper, we discuss the existence of periodic solution of the following high order nonlinear neutral functional differential equation： x^（2n）（t）＋cx^（2n）（t-τ）＋f（x）x＇＋bx（t）＋g（x（t-σ））=p（t）. A sufficient condition for the existence of periodic solution of the equation is given by using the coindence degree theory and analytical skills.