Journals / Turkish Journal of Mathematics / 2018 / Cilt: 42 - Sayı: 6

On the solution of an inverse Sturm-Liouville problem with a delay and eigenparameter-dependent boundary conditions

Pages
3090–3100
Publication Date
2018-12-01
DOI
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AI Summary & Key Takeaways

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

Then we obtain the connection between the potential function and the canonical form of the characteristic function.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a boundary value problem consisting of a delay differential equation of the Sturm-Liouville type with eigenparameter-dependent boundary conditions is investigated.
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Key Findings & Data:The asymptotic behavior of eigenvalues is studied and the parameter of delay is determined by eigenvalues.
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Conclusion & Impact:Then we obtain the connection between the potential function and the canonical form of the characteristic function.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Delay differential equation · characteristic function · eigenvalues

Abstract

In this paper, a boundary value problem consisting of a delay differential equation of the Sturm-Liouville type with eigenparameter-dependent boundary conditions is investigated. The asymptotic behavior of eigenvalues is studied and the parameter of delay is determined by eigenvalues. Then we obtain the connection between the potential function and the canonical form of the characteristic function.

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Cite This Article

MOSAZADEH, S. (2018). On the solution of an inverse Sturm-Liouville problem with a delay and eigenparameter-dependent boundary conditions. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 6, 3090–3100. https://ajindex.com/articles/227821

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