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Journals / Turkish Journal of Mathematics / 2011 / Cilt: 35 - Sayı: 1

Existence of three solutions to a non-homogeneous multi-point BVP of second order differential equations

Yuji LIU
Pages
55–86
Publication Date
2022-11-04
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Two examples are presented to illustrate the main results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper is concerned with a non-homogeneous multi-point boundary value problem of second order differential equation with one-dimensional p-Laplacian.
📊
Key Findings & Data:Using multiple fixed point theorems, sufficient conditions to guarantee the existence of at least three solutions of this kind of BVP are established.
💡
Conclusion & Impact:Two examples are presented to illustrate the main results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This paper is concerned with a non-homogeneous multi-point boundary value problem of second order differential equation with one-dimensional p-Laplacian. Using multiple fixed point theorems, sufficient conditions to guarantee the existence of at least three solutions of this kind of BVP are established. Two examples are presented to illustrate the main results.

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Cite This Article

LIU, Y. (2022). Existence of three solutions to a non-homogeneous multi-point BVP of second order differential equations. Turkish Journal of Mathematics, Cilt: 35 - Sayı: 1, 55–86. https://ajindex.com/articles/608437

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