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.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
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
关键词
三阶三点边值问题
不动点定理
正解
third-order three point boundary value problem
fixed point theorem
positive solution
