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The Journal of Analysis

, Volume 27, Issue 4, pp 1065–1079 | Cite as

The inverse spectral problem of some singular Sturm–Liouville problems with sign-valued weights

  • Shimaa A. M. HagagEmail author
  • Zaki F. A. El-Raheem
Original Research Paper

Abstract

In this paper we study the inverse spectral problem for singular Sturm–Liouville operator with sign valued weight. We define the spectral data of the problem, we construct the main integral equation. Solve the inverse spectral problem and use the inverse problem by two spectrum.

Keywords

Singular Sturm–Liouville problem Spectral data The main integral equation Uniqueness theorem 

Mathematics Subject Classification

34B05 58C40 34L25 

Notes

Compliance with ethical standards

Conflict of interest

The author(s) declare(s) that there is no conflict of interest regarding the publication of this paper.

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Copyright information

© Forum D'Analystes, Chennai 2018

Authors and Affiliations

  1. 1.Faculty of EducationAlexandria UniversityAlexandriaEgypt

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