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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 53 Issue: 4

Spectral properties and inverse nodal problems for singular diffusion equation

Rauf Amirov(SIVAS CUMHURIYET UNIVERSITY)0000-0001-6754-2283
Sevim Durak(SIVAS CUMHURIYET UNIVERSITY)0000-0003-2591-4768
Pages
—
Publication Date
2024-08-27
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AI Summary & Key Takeaways

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

Firstly, the behaviors of eigenvalues were learned, then the solutions of the inverse problem were given to determine the potential function and parameters of the boundary condition with the help of a dense set of nodal points and lastly we obtain a constructive solution to the inverse problems of this class.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, some properties for the pencils of singular Sturm-Liouville operators are investigated.
📊
Key Findings & Data:In this study, some properties for the pencils of singular Sturm-Liouville operators are investigated.
💡
Conclusion & Impact:Firstly, the behaviors of eigenvalues were learned, then the solutions of the inverse problem were given to determine the potential function and parameters of the boundary condition with the help of a dense set of nodal points and lastly we obtain a constructive solution to the inverse problems of this class.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:singular diffusion equation · inverse spectral problems · inverse nodal problems

Abstract

In this study, some properties for the pencils of singular Sturm-Liouville operators are investigated. Firstly, the behaviors of eigenvalues were learned, then the solutions of the inverse problem were given to determine the potential function and parameters of the boundary condition with the help of a dense set of nodal points and lastly we obtain a constructive solution to the inverse problems of this class.

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Cite This Article

Amirov, R., Durak, S. (2024). Spectral properties and inverse nodal problems for singular diffusion equation. Hacettepe Journal of Mathematics and Statistics, Volume: 53 Issue: 4. https://doi.org/10.15672/hujms.1254445

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