Existence of multiple solutions for nonlinear multi-point boundary value problems

被引：0

作者：

Li, Hongyu ^{[1
]}

Chen, Yang ^{[1
]}

Zhang, Junting ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fixed point theorem; Characteristic value; Sign-changing solution; Multi-point boundary value problem; SIGN-CHANGING SOLUTIONS; POSITIVE SOLUTIONS; 2ND-ORDER; 3-POINT;

D O I：

10.1186/s13662-020-02604-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study some nonlinear second order multi-point boundary value problems. We first give a lemma about the characteristic values of the corresponding linear operator. Then, by fixed point theorems in the recent existing literature, we obtain the existence of multiple solutions for these nonlinear second order multi-point boundary value problems, including two positive solutions, two negative solutions, and one sign-changing solution.

引用

页数：11

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