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

On Hochstadt--Lieberman theorem for impulsive Sturm-Liouville problems with boundary conditions polynomially dependent on the spectral parameter

Pages
3002–3009
Publication Date
2018-12-01
DOI
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⚡ TL;DR(Too Long; Didn't Read)

In the present paper, we consider an inverse problem for the Sturm-Liouville operator with a finite number of discontinuities at interior points and boundary conditions polynomially dependent on the spectral parameter on an arbitrary finite interval, and prove the Hochstadt-Lieberman-type theorem for this problem.

📌 3 Key Takeaways

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Objective & Hypothesis:In the present paper, we consider an inverse problem for the Sturm-Liouville operator with a finite number of discontinuities at interior points and boundary conditions polynomially dependent on the spectral parameter on an arbitrary finite interval, and prove the Hochstadt-Lieberman-type theorem for this problem.
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Key Findings & Data:In the present paper, we consider an inverse problem for the Sturm-Liouville operator with a finite number of discontinuities at interior points and boundary conditions polynomially dependent on the spectral parameter on an arbitrary finite interval, and prove the Hochstadt-Lieberman-type theorem for this problem.
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Conclusion & Impact:In the present paper, we consider an inverse problem for the Sturm-Liouville operator with a finite number of discontinuities at interior points and boundary conditions polynomially dependent on the spectral parameter on an arbitrary finite interval, and prove the Hochstadt-Lieberman-type theorem for this problem.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Sturm-Liouville problem · interior discontinuities · Hochstadt-Lieberman theorem

Abstract

In the present paper, we consider an inverse problem for the Sturm-Liouville operator with a finite number of discontinuities at interior points and boundary conditions polynomially dependent on the spectral parameter on an arbitrary finite interval, and prove the Hochstadt-Lieberman-type theorem for this problem.

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Cite This Article

MOSAZADEH, S., AKBARFAM, A. J. (2018). On Hochstadt--Lieberman theorem for impulsive Sturm-Liouville problems with boundary conditions polynomially dependent on the spectral parameter. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 6, 3002–3009. https://ajindex.com/articles/220600

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