西北师范大学学报（自然科学版）2012，Vol.48Issue(3)：1-4,31,5.
非线性三阶三点边值问题正解的存在性
Existence of positive solution for a nonlinear third-order three-point boundary value problem
摘要
Abstract
This paper is concerned with the following nonlinear third-order three-point boundary value problem (u"(t)+a(t)f(u(t))=0,tΣ[0,1] lu"CO+aCf>f(.uU)) = 0, <6[0,l], u(0) = u'(0) = 0,u(l) = au'(η). The corresponding Green's function is given and its properties are discussed. And then, the existence of positive solution for the above boundary value problem is obtained by using the Guo-Krasnoselskii fixed point theorem.关键词
三阶三点边值问题/Green函数/正解/存在性/不动点Key words
third-order three-point boundary value problem/ Green's function/ positive solution/ existence/ fixed point分类
数理科学引用本文复制引用
孙建平,张小丽..非线性三阶三点边值问题正解的存在性[J].西北师范大学学报（自然科学版）,2012,48(3):1-4,31,5.基金项目
国家自然科学基金资助项目(10801068) （10801068）
