一类三阶三点边值问题正解新的存在性定理  

A New Existence Theorem of Positive Solutions for Nonlinear Third-order Three-point Boundary Value Problems

作　　者：武晨[1] 王全祥[2] WU Chen;WANG Quan -xiang(Basic Courses Teaching Department,Branch of Nanjing Jiangsu Union Technical Institute,Nanjing Jiangsu 210019;College of Engineering,Nanjing Agricultural University,Nanjing Jiangsu 210095,China)

机构地区：[1]江苏联合职业技术学院南京分院,基础课程教学部,江苏南京210019 [2]南京农业大学工学院,江苏南京210095

出　　处：《淮阴师范学院学报（自然科学版）》2018年第2期95-99,共5页Journal of Huaiyin Teachers College;Natural Science Edition

基　　金：国家自然科学基金项目(11701283);江苏省教育科学“十三五”规划课题项目(B-b/2016/03/55)

摘　　要：考虑了一个三阶三点边值问题正解的存在性,通过利用Leray-Schauder不动点定理得到了一个新的正解存在性结果.方法进一步改进和推广了已有的结果.In this paper,we consider the existence of positive solution for a third-order three-point boundary value problems,a new conclusion is obtained by using Leray-Schauderfixed point theorem.Our results extend and improve some results are made.

关 键 词：LERAY-SCHAUDER不动点定理 三阶三点边值问题 正解 

分 类 号：O175[理学—数学]