三阶三点边值问题的两个正解的存在性  

On The Existence of Two Positive Solutions for Third-Order Three-Point Boundary Value Problem

作　　者：张立新[1] 孙博[2] 张洪[1] 

机构地区：[1]北京联合大学基础部,北京100101 [2]中央财经大学统计与数学学院,北京100081

出　　处：《西南师范大学学报（自然科学版）》2013年第10期30-33,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金数学天元基金资助(11126245);北京联合大学中青年骨干教师项目资助

摘　　要：考虑三阶三点边值问题u'''(t)+a(t)f(t,u(t))=0 t∈(0,1)u(0)=au(η),u′(1)=βu′(η),u″(0)=0当非线性项f满足一定的增长条件时,利用Avery-Henderson不动点定理得到了上述边值问题至少有2个正解的存在性结果.This paper deals with the third-order three-point boundary value problem,and the existence of at least two positive solutions for the above problem has been established by using Avery-Henderson fixed point theorem , when f satisfies some growth conditions.

关 键 词：三阶三点边值问题 不动点定理 正解 

分 类 号：O175.8[理学—数学]