Journals / Turkish Journal of Mathematics / 2004 / Cilt: 28 - Sayı: 3

Determination of fractional-linear pencil of a fractional-linear pencil of Sturm-Liouville operators by two of its spectra

Pages
307–311
Publication Date
2022-11-04
DOI
—
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AI Summary & Key Takeaways

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

The inverse spectral problem consisting of the recovering of the operator from the two spectra is investigated and a uniqueness theorem for solution of the inverse problem is proved.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we consider the Sturm-Liouville equations on a finite interval which is fractional-linear in the spectral parameter.
📊
Key Findings & Data:In this paper we consider the Sturm-Liouville equations on a finite interval which is fractional-linear in the spectral parameter.
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Conclusion & Impact:The inverse spectral problem consisting of the recovering of the operator from the two spectra is investigated and a uniqueness theorem for solution of the inverse problem is proved.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper we consider the Sturm-Liouville equations on a finite interval which is fractional-linear in the spectral parameter. The inverse spectral problem consisting of the recovering of the operator from the two spectra is investigated and a uniqueness theorem for solution of the inverse problem is proved.

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Cite This Article

PASHAYEV, R. T. (2022). Determination of fractional-linear pencil of a fractional-linear pencil of Sturm-Liouville operators by two of its spectra. Turkish Journal of Mathematics, Cilt: 28 - Sayı: 3, 307–311. https://ajindex.com/articles/608791

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References (4)

  1. Gasymov, M. G., Pashayev, R. T.: On a fractional-linear pencil of Sturm-Liouville type differential operators, Dokl. Akad. Nauk SSSR 294, 1041-1044 (1987)
  2. Pashayev, R. T.: Inverse scattering problem for a fractional-linear pencil of Sturm-Liouville differential operators, Preprint (1996)
  3. Marchenko, V.A., Ostrovsky, I.V.: A characterization of the spectrum of Hill's operator, Math. USSR Sb. 26, 493-554 (1975)
  4. Gasymov, M. G., Levitan, B. M.: Determination of a differential equation by two of its spectra, Russian Math. Surveys 19, 1-63 (1964).