混合中立型方程渐近衰退正解的存在性

On the Existence of Asymptotically Decaying Positive Solutions of Mixed Neutral Differential Equations

该文利用Krasnoselskii不动点定理,讨论了一阶混合中立型微分方程[x(t)-cx(t- h)-c*x(t+h*)]′=p(t)x(g(t)),获得了方程在p≤p(t)<0与0<p(t)≤|p|(p<0常数) 情形下存在渐近衰退正解的充分条件,并利用此结果获得与相应常系数混合中立型微分方程的一个比较结果．

In this paper, the authors study the first order neutral differential equation {x（t）-cx（t-h）-c^＊x（t＋h^＊）}′=p（t）x（g（t）） by the Krasnoselskii fixed point theorem, and obtain some new sufficient conditions for existence of asymptotically decaying positive solutions of the first order neutral differential equation.