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具变号非线性项三阶多点边值问题的正解与多个正解

沈春芳 杨刘 解大鹏

数学杂志2018,Vol.38Issue(2):317-324,8.
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

沈春芳 1杨刘 1解大鹏1

作者信息

  • 1. 合肥师范学院数学系,安徽合肥230601
  • 折叠

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//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)

数学杂志

OACSTPCD

0255-7797

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