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Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 6

Existence results for nonlinear boundary value problems with m-point integral boundary condition

Tuğba ŞENLİK ÇERDİK
Nüket AYKUT HAMAL
Pages
1521–1536
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

As an application, two examples are given to demonstrate our results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we investigate the existence of positive solutions for the nonlinear m-point boundary value problems with integral boundary condition.
📊
Key Findings & Data:By using xed-point index theorem and Leggett- Williams xed point theorem, the existence and multiplicity of positive solutions are obtained.
💡
Conclusion & Impact:As an application, two examples are given to demonstrate our results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we investigate the existence of positive solutions for the nonlinear m-point boundary value problems with integral boundary condition. By using xed-point index theorem and Leggett- Williams xed point theorem, the existence and multiplicity of positive solutions are obtained. As an application, two examples are given to demonstrate our results.

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Cite This Article

ÇERDİK, T. Ş., HAMAL, N. A. (2022). Existence results for nonlinear boundary value problems with m-point integral boundary condition. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 6, 1521–1536. https://ajindex.com/articles/529856

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