Results 11 to 20 of about 11,416,461 (242)

Matrix Representations for a Class of Eigenparameter Dependent Sturm–Liouville Problems with Discontinuity

Axioms, 2023
Matrix representations for a class of Sturm–Liouville problems with eigenparameters contained in the boundary and interface conditions were studied. Given any matrix eigenvalue problem of a certain type and an eigenparameter-dependent condition, a class ...
Shuang Li, Jinming Cai, Kun Li
doaj   +1 more source

A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus

Journal of Function Spaces, 2021
In mathematical physics (such as the one-dimensional time-independent Schrödinger equation), Sturm-Liouville problems occur very frequently. We construct, with a different perspective, a Sturm-Liouville problem in multiplicative calculus by some ...
Sertac Goktas
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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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Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method

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
doaj   +2 more sources

Multiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions

AIMS Mathematics, 2022
The existence of solutions for a Sturm-Liouville boundary value problem of a nonlinear differential inclusion with nonlocal integral condition is studied. The maximal and minimal solutions will be studied.
Ahmed M.A. El-Sayed , Eman M.A. Hamdallah , Hameda M. A. Alama   +2 more
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Theory of discrete fractional Sturm–Liouville equations and visual results

AIMS Mathematics, 2019
In this article, we study discrete fractional Sturm-Liouville (DFSL) operators within Riemann-Liouville and Grünwald-Letnikov fractional operators with both delta and nabla operators.
Erdal Bas, Ramazan Ozarslan
doaj   +1 more source

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
doaj   +1 more source

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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Asymptotic properties of eigenvalues and eigenfunctions of a Sturm-Liouville problem with discontinuous weight function [PDF]

, 2013
In this paper, by using the similar methods of [O. Sh. Mukhtarov and M. Kadakal, Some spectral properties of one Sturm-Liouville type problem with discontinuous weight, Siberian Mathematical Journal, 46 (2005) 681-694] we extend some spectral properties ...
Şen, Erdoğan
core   +3 more sources