数学杂志2018,Vol.38Issue(2):317-324,8.
具变号非线性项三阶多点边值问题的正解与多个正解
EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR THIRD-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM WITH SIGN CHANGING NONLINEARITY
摘要
Abstract
In this paper,existence of positive solution of a kind of boundary value problem of third order differential equation with changing sign nonlinearity is considered.By using the fixed point theorem and nonlinear functional analysis method,the existence of positive solution is established,which generalizes the existing literature.关键词
三阶多点边值问题/正解/锥/不动点Key words
third-order multi-point boundary value problem/positive solution/cone/fixed point分类
数理科学引用本文复制引用
沈春芳,杨刘,解大鹏..具变号非线性项三阶多点边值问题的正解与多个正解[J].数学杂志,2018,38(2):317-324,8.基金项目
国家自然科学基金(11201109) (11201109)
安徽省自然科学项目(1708085MA16) (1708085MA16)
安徽省高校自然科学重点项目(KJ2017A937). (KJ2017A937)