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

共 23 条

[1] [Anonymous], 1961, Theory of Elastic Stability
[2] Eigenvalue for a singular second order three-point boundary value problem
Donglong Bai
Hanying Feng
[J]. Journal of Applied Mathematics and Computing, 2012, 38 (1-2) : 443 - 452
[3] Existence Results and the Monotone Iterative Technique for Nonlinear Fractional Differential Systems with Coupled Four-Point Boundary Value Problems
Cui, Yujun
Zou, Yumei
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[4] Guo D., 1988, Nonlinear Problems in Abstract Cones
[5] Guo DJ., 2001, Nonlinear Functional Analysis
[6] SOLVABILITY OF A 3-POINT NONLINEAR BOUNDARY-VALUE PROBLEM FOR A 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATION
GUPTA, CP
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 168 (02) : 540 - 551
[7] On sign-changing solutions for nonlinear operator equations
Li, Fuyi
Liang, Zhanping
Zhang, Qi
Li, Yuhua
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (02) : 1010 - 1028
[8] Existence of Nontrivial Solutions for Superlinear Three-Point Boundary Value Problems
Li, Hong-yu
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2017, 33 (04): : 1043 - 1052
[9] Existence of Nontrivial Solutions for Some Second-Order Multipoint Boundary Value Problems
Li, Hongyu
Zhang, Junting
[J]. JOURNAL OF FUNCTION SPACES, 2018, 2018
[10] Global Structure of Positive Solutions for Some Second-Order Multipoint Boundary Value Problems
Li, Hongyu
Zhang, Junting
[J]. JOURNAL OF FUNCTION SPACES, 2017, 2017

← 1 2 3 →