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Two-parameter Sturm-Liouville problems

2012/08/17 by B. Chanane, Chanane, B., A. Boucherif +2
Mathematics · Physics and Astronomy · #34L16 #Applied mathematics #Boundary value problem #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical analysis #Mathematics #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #Sturm–Liouville theory #math.SP #msc:34L16

paper · pdf · doi:10.48550/arxiv.1208.3695

9 pages

arxiv created 2012/08/17 · openalex publication_date 2012/08/17 · arxiv updated 2012/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper deals with the computation of the eigenvalues of two-parameter Sturm- Liouville (SL) problems using the Regularized Sampling Method, a method which has been effective in computing the eigenvalues of broad classes of SL problems (Singular, Non-Self-Adjoint, Non-Local, Impulsive,...). We have shown, in this work that it can tackle two-parameter SL problems with equal ease. An example was provided to illustrate the effectiveness of the method.

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