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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 53 Issue: 2

Reconstruction of the nonlocal Sturm-Liouville operator with boundary conditions depending on the parameter

İbrahim Adalar(SIVAS CUMHURIYET UNIVERSITY)0000-0002-4224-0972
Ahmet Sinan Özkan(SIVAS CUMHURIYET UNIVERSITY)0000-0002-9703-8982
Pages
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Publication Date
2024-04-23
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AI Summary & Key Takeaways

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

We obtain a result and give an algorithm for the reconstruction of the coefficients of the problem using asymptotics of the nodal points.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, we consider the Sturm--Liouville equation with nonlocal boundary conditions depending polynomially on the parameter.
📊
Key Findings & Data:In the present paper, we consider the Sturm--Liouville equation with nonlocal boundary conditions depending polynomially on the parameter.
💡
Conclusion & Impact:We obtain a result and give an algorithm for the reconstruction of the coefficients of the problem using asymptotics of the nodal points.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:nodal points · Sturm-Liouville equation · nonlocal boundary conditions

Abstract

In the present paper, we consider the Sturm--Liouville equation with nonlocal boundary conditions depending polynomially on the parameter. We obtain a result and give an algorithm for the reconstruction of the coefficients of the problem using asymptotics of the nodal points.

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Cite This Article

Adalar, İ., Özkan, A. S. (2024). Reconstruction of the nonlocal Sturm-Liouville operator with boundary conditions depending on the parameter. Hacettepe Journal of Mathematics and Statistics, Volume: 53 Issue: 2. https://doi.org/10.15672/hujms.1244992

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