吉林大学学报（理学版）2016，Vol.54Issue(2)：177-182,6.DOI:10.13413/j.cnki.jdxblxb.2016.02.05
含双参数边界条件的二阶三点边值问题解的存在性
Exsitence of Solutions for Second-Order Three-Point Boundary Value Problem with Two Parameters Boundary Conditions
摘要
Abstract
Using the Schauder fixed point theorem and upper and lower solution method,the author studied the existence and nonexistence of the solutions for a class of second-order three-point boundary value problem with two parameters boundary conditions u″(t)+ f (t,u)=0, t ∈ (0,1),{u(0)-au (η)=λ1 , u(1)-b u (η)=λ2 . The author obtained intervals ofλ1 andλ2 with which the problem had a solution,a positive solution and no solution,respectively.关键词
非齐次边界条件/上下解方法/存在性/Schauder不动点定理Key words
nonhomogeneous boundary conditions/upper and lower solution method/existence/Schauder fixed point theorem分类
数理科学引用本文复制引用
陈彬..含双参数边界条件的二阶三点边值问题解的存在性[J].吉林大学学报（理学版）,2016,54(2):177-182,6.基金项目
国家自然科学基金(批准号:10671158)和甘肃省自然科学基金(批准号:3ZS051-A25-016) （批准号:10671158）
