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

Advances in Difference Equations

article

Li, Hongyu¹  Chen, Yang¹  Zhang, Junting¹ 

[1] College of Mathematics and Systems Science, Shandong University of Science and Technology

关键词: Fixed point theorem;    Characteristic value;    Sign-changing solution;    Multi-point boundary value problem;   

DOI  :  10.1186/s13662-020-02604-1

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY