Results 1 to 10 of about 5,721 (217)

Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method [PDF]

Boundary Value Problems, 2008
Solving an inverse Sturm-Liouville problem requires a mathematical process to determine unknown function in the Sturm-Liouville operator from given data in addition to the boundary values.
Chein-Shan Liu
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Recovery of Inhomogeneity from Output Boundary Data

Mathematics, 2022
We consider the Sturm–Liouville equation on a finite interval with a real-valued integrable potential and propose a method for solving the following general inverse problem.
Vladislav V. Kravchenko, Kira V. Khmelnytskaya, Fatma Ayça Çetinkaya   +2 more
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Relations between Spectrum Curves of Discrete Sturm-Liouville Problem with Nonlocal Boundary Conditions and Graph Theory. II

Lietuvos Matematikos Rinkinys, 2021
In this paper, relations between discrete Sturm--Liouville problem with nonlocal integral boundary condition characteristics (poles, critical points, spectrum curves) and graphs characteristics (vertices, edges and faces) were found. The previous article
Jonas Vitkauskas, Artūras Štikonas
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On the Jost Solutions of A Class of the Quadratic Pencil of the Sturm-Liouville Equation

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2023
In this study we construct new integral representations of Jost-type solutions of the quadratic pencil of the Sturm-Liouville equation with the piece-wise constant coefficient on the entire real line.
Döndü Nurten Cücen, Anar Adiloğlu
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STURM–LIOUVILLE PROBLEMS WITH DISCONTINUOUS POTENTIAL [PDF]

Bulletin of the Australian Mathematical Society, 2008
AbstractWe consider a discontinuous Sturm–Liouville equation together with two supplementary transmission conditions at the point of discontinuity. We suggest our own approach for finding asymptotic approximation formulas for the eigenvalues of such discontinuous problems.
Akdogan, Z., Sasmaz, Z.
openaire   +3 more sources

Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator

Advances in Mathematical Physics, 2021
This paper is concerned with the inverse eigenvalue problem for singular rank one perturbations of a Sturm-Liouville operator. We determine uniquely the potential function from the spectra of the Sturm-Liouville operator and its rank one perturbations.
Xuewen Wu
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On partial fractional Sturm–Liouville equation and inclusion

Advances in Difference Equations, 2021
The Sturm–Liouville differential equation is one of interesting problems which has been studied by researchers during recent decades. We study the existence of a solution for partial fractional Sturm–Liouville equation by using the α-ψ-contractive ...
Zohreh Zeinalabedini Charandabi, Hakimeh Mohammadi, Shahram Rezapour, Hashem Parvaneh Masiha   +3 more
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An accurate method for solving a class of fractional Sturm-Liouville eigenvalue problems

Results in Physics, 2018
This article is devoted to both theoretical and numerical study of the eigenvalues of nonsingular fractional second-order Sturm-Liouville problem. In this paper, we implement a fractional-order Legendre Tau method to approximate the eigenvalues.
Bothayna S.H. Kashkari, Muhammed I. Syam
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On fractional q-Sturm–Liouville problems [PDF]

Journal of Fixed Point Theory and Applications, 2016
arXiv admin note: text overlap with arXiv:1602 ...
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Inverse eigenvalue problems for rank one perturbations of the Sturm-Liouville operator

Open Mathematics, 2022
This article is concerned with the inverse eigenvalue problem for rank one perturbations of the Sturm-Liouville operator. I obtain the relationship between the spectra of the Sturm-Liouville operator and its rank one perturbations, and from the spectra I
Wu Xuewen
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