Results 11 to 20 of about 3,611 (205)

Fractional Sturm–Liouville problem

open access: yesComputers & Mathematics with Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klimek, M., Agrawal, O. P.
openaire   +3 more sources

Inverse Sturm-Liouville problem with analytical functions in the boundary condition

open access: yesOpen Mathematics, 2020
The inverse spectral problem is studied for the Sturm-Liouville operator with a complex-valued potential and arbitrary entire functions in one of the boundary conditions.
Bondarenko Natalia Pavlovna
doaj   +3 more sources

Relations between Spectrum Curves of Discrete Sturm-Liouville Problem with Nonlocal Boundary Conditions and Graph Theory. II

open access: yesLietuvos 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
doaj   +1 more source

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

open access: yesBoundary 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

On the Jost Solutions of A Class of the Quadratic Pencil of the Sturm-Liouville Equation

open access: yesSüleyman 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
doaj   +1 more source

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

open access: yesAdvances 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 partial fractional Sturm–Liouville equation and inclusion

open access: yesAdvances 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   +3 more
doaj   +1 more source

An accurate method for solving a class of fractional Sturm-Liouville eigenvalue problems

open access: yesResults 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
doaj   +1 more source

Inverse eigenvalue problems for rank one perturbations of the Sturm-Liouville operator

open access: yesOpen 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
doaj   +1 more source

The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange - Sturm - Liouville [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020
Let us say that the principle of localization holds at the class of functions $F$ at point $x_0 \in [0, \pi]$ for the Lagrange\,--\,Sturm\,--\,Liouville interpolation process $L_n^{SL}(f,x)$ if $\lim_{n \rightarrow \infty}\left|L_n^{SL}(f, x_0)-L_n^{SL ...
Aleksandr Yurievich Trynin   +1 more
doaj   +1 more source

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