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

被引：0
|
作者：
Hongyu Li
Yang Chen
Junting Zhang
机构：
[1] Shandong University of Science and Technology,College of Mathematics and Systems Science
来源：
Advances in Difference Equations | / 2020卷
关键词：
Fixed point theorem; Characteristic value; Sign-changing solution; Multi-point boundary value problem; 34B15; 34B18; 47H11;
D O I：
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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.
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