一类泛函微分方程边值问题的三个正解

Triple Positive Solutions for a Class of Boundary Value Problems of Second-Order Functional Differential Equations

本文利用Avery和Peterson引入的新的不动点定理,得出了泛函微分方程边值问题存在三个正解的充分条件并得出了有关新结果。

We obtain sufficient conditions for the existence of at least three positive solutions for the boundary value problem of a second order functional differential equation{x＇＇（t）＋q（t）f（t,x（t）,x（t-r）,x＇（t））=0,0〈t〈1,r〈0,x（t）=ξ（t）,-r≤r≤0,x（1）=0 this is an application of a new fixed point theorem introduced by Avery and Peterson.