摘要
研究了一类非线性三阶常微分方程组三点边值问题,通过运用Leggett-Williams不动点定理和Leray-schauder不动点定理建立了该问题至少有三个正解及任意奇数个正解的存在性准则.
By using Leggett-Williams fixed point theorem and Leray-Schauder fixed point theorem,this paper,establishes the existence criteria of three positive solutions as well as arbitary odd positive solutions to the three-point boundary value problems for third-order differential equations.
出处
《河西学院学报》
2011年第2期35-39,共5页
Journal of Hexi University
关键词
边值问题
三阶
三点
正解
锥
不动点
Boundary value problem
Third-order
Three-point
Positive solution
Cone
