完全三阶边值问题解的存在性

Existence of solutions of a third-order boundary value problem

摘要:

本文讨论完全三阶两点边值问题解的存在性,其中f为连续函数.当f满足关于x,y,z超线性增长的不等式条件及f关于z满足Nagumo型增长条件时,本文应用Leray-schauder不动点定理获得了该问题解的存在性.

Abstract:

In this paper,the existence of solutions of a class of fully third order boundary value problem is considered, where f is continuous. Applying the Leray-schauder fixed point theorem, the existence of solutions is obtained under f satisfies an inequality condition that allows f superlinear growth and f satisfies the Nagumo-type growth condition on z.