北华大学学报（自然科学版）Issue(5)：577-580,4.DOI:10.11713/j.issn.1009-4822.2014.05.003
一类三阶三点边值问题正解的存在性
Existence of Positive Solutions of a Class Third-Order Three-Point Boundary Value Problem
摘要
Abstract
The existence of positive solutions for a third-order three-point boundary value problem with nonhomogenous three-point boundary conditions of the form u‴(t)+a(t)f(u(t))=0,t∈(0,1),u(0)=u′(0)=0,u′(1)-αu′(η)=λ is studied,where 0<α<1,0<η<1, f∈C([0,+¥),[0,+¥)),a∈C([0,1],[0,+¥)) and λ>0 is a parameter. The sufficient conditions for the existence of positive solutions to this problem were obtained by using Schauder fixed point theorem.关键词
三阶三点边值问题/Schauder不动点定理/正解Key words
third-order three-point boundary value problem/Schauder fixed point theorem/positive solution分类
数理科学引用本文复制引用
吕学哲,裴明鹤..一类三阶三点边值问题正解的存在性[J].北华大学学报（自然科学版）,2014,(5):577-580,4.基金项目
国家自然科学基金青年项目(11201008) （11201008）
