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Mathematics
Article . 2025 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Mathematics
Article . 2025
Data sources: DOAJ
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Some Results of Positive Solutions for a Beam Equation with Multi-Point Boundary Conditions

Authors: Zhenghao Du; Huijuan Zhu; Fanglei Wang;

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

Abstract

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.

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Keywords

sign-changing Green’s function, positive solutions, QA1-939, multi-point boundary value problem, fixed point theorems, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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