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Journals / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 2

Existence of three solutions for Kirchhoff-type three-point boundary value problems

Shapour Heidarkhani
Amjad Salari
Pages
304–317
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Finally, by presenting one example, we will ensure the applicability of our results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The present paper is an attempt to investigate the multiplicity results of solutions for a three-point boundary value problem of Kirchhoff-type.
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Key Findings & Data:Indeed, we will use variational methods for smooth functionals, defined on the reflexive Banach spaces in order to achieve the existence of at least three solutions for the equation.
💡
Conclusion & Impact:Finally, by presenting one example, we will ensure the applicability of our results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:three solutions · three-point boundary value problem · second-order Kirchhoff-type equation

Abstract

The present paper is an attempt to investigate the multiplicity results of solutions for a three-point boundary value problem of Kirchhoff-type. Indeed, we will use variational methods for smooth functionals, defined on the reflexive Banach spaces in order to achieve the existence of at least three solutions for the equation. Finally, by presenting one example, we will ensure the applicability of our results.

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Cite This Article

Heidarkhani, S., Salari, A. (2022). Existence of three solutions for Kirchhoff-type three-point boundary value problems. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 2, 304–317. https://ajindex.com/articles/529498

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