Some Results of Positive Solutions for a Beam Equation with Multi-Point Boundary Conditions

Some Results of Positive Solutions for a Beam Equation with Multi-Point Boundary Conditions

In this paper, we give some results on the existence and multiplicity of positive solutions for a class of fourth-order multi-point boundary value problems with a sign-changing Green’s function. Using the fixed point theorem, we establish sufficient conditions for the existence of positive solutions...

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Bibliographic Details
Main Authors: Zhenghao Du, Huijuan Zhu, Fanglei Wang
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Mathematics
Subjects:
multi-point boundary value problem
sign-changing Green’s function
positive solutions
fixed point theorems
Online Access:https://www.mdpi.com/2227-7390/13/13/2093
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Summary:In this paper, we give some results on the existence and multiplicity of positive solutions for a class of fourth-order multi-point boundary value problems with a sign-changing Green’s function. Using the fixed point theorem, we establish sufficient conditions for the existence of positive solutions in different scenarios. Finally, this article provides several specific examples to illustrate the obtained conclusions. The main innovation of this paper is to address the challenges posed by Green’s functions with changing sign, which complicate the application of standard techniques.
ISSN:2227-7390

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