北华大学学报（自然科学版）2016，Vol.17Issue(5)：566-571,6.DOI:10.11713/j.issn.1009-4822.2016.05.002
非线性微分方程三阶三点边值问题两个正解的存在性
Existence of Two Positive Solutions for Third-Order Three-Point Boundary Value Problems of Nonlinear Differential Equations
摘要
Abstract
We concerned with the following third-order three-point boundary value problem u‴(t)+a(t)f(u(t))=0, t∈(0,1),u(0)=u″(0)=0, u′(1)-αu(η)=λ,{where 0<η<1,0<α<1/η,λ∈(0,¥) is a parameter. By establishing Green function for the associated linear boundary value problem, the solution for the above boundary value problem is obtained. Then the existence criterion of at least two positive solutions for the above boundary value problem is obtained by using fixed point index theorem.关键词
三阶三点边值问题/正解/存在性/锥/格林函数/不动点指数理论Key words
third-order three-point boundary value problem/positive solution/existence/cone/Green function/fixed point index theorem分类
数理科学引用本文复制引用
郭丽君..非线性微分方程三阶三点边值问题两个正解的存在性[J].北华大学学报（自然科学版）,2016,17(5):566-571,6.基金项目
甘肃省高等学校科研项目教育厅立项(项目编号:2015B-214) （项目编号:2015B-214）
