On the Solution of a Class of Discontinuous Sturm-Liouville Problems

This study examines boundary value problems consisting of a second-order differential equation with discontinuous coefficients and boundary conditions. Asymptotic formulas for the eigenvalues and eigenfunctions of the problem are derived, and an expansion formula is obtained based on the eigenfunctions.

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Publication Details

Journal
Communications in Advanced Mathematical Sciences
Published
2025-03-24
DOI
https://doi.org/10.33434/cams.1605646
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
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article

On the Solution of a Class of Discontinuous Sturm-Liouville Problems

Döne Karahan, Khanlar R. Mamedov, Ufuk Çelik
Communications in Advanced Mathematical Sciences
Spectral Theory in Mathematical Physics
article

On the Solution of a Class of Discontinuous Sturm-Liouville Problems

Döne Karahan, Khanlar R. Mamedov, Ufuk Çelik
article en

Abstract

This study examines boundary value problems consisting of a second-order differential equation with discontinuous coefficients and boundary conditions. Asymptotic formulas for the eigenvalues and eigenfunctions of the problem are derived, and an expansion formula is obtained based on the eigenfunctions.

Communications in Advanced Mathematical SciencesVol. 8(1)
Iğdır Üniversitesi (TR), Massachusetts Eye Research and Surgery Institute (US), Mersin Üniversitesi (TR), Harran University (TR)
Openalex Percentile: Top 90%
Spectral Theory in Mathematical Physics
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