Results 21 to 30 of about 677 (179)

On fractional q-Sturm–Liouville problems [PDF]

open access: yesJournal of Fixed Point Theory and Applications, 2016
arXiv admin note: text overlap with arXiv:1602 ...
openaire   +2 more sources

A Study of the Eigenfunctions of the Singular Sturm–Liouville Problem Using the Analytical Method and the Decomposition Technique

open access: yesMathematics, 2020
The history of boundary value problems for differential equations starts with the well-known studies of D. Bernoulli, J. D’Alambert, C. Sturm, J. Liouville, L. Euler, G. Birkhoff and V. Steklov.
Oktay Sh. Mukhtarov, Merve Yücel
doaj   +1 more source

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   +1 more source

Spectral corrections for Sturm–Liouville problems

open access: yesJournal of Computational and Applied Mathematics, 2001
The authors discuss the numerical integration of linear 1-D Sturm-Liouville problems in finite and infinite intervals. A shooting method is implemented both for the eigenvalues and the eigenfunctions. Newton iterations, with their typical advantages and risks, are used to calculate an approximation of an eigenvalue.
GHELARDONI, PAOLO   +2 more
openaire   +2 more sources

The dual eigenvalue problems of the conformable fractional Sturm–Liouville problems

open access: yesBoundary Value Problems, 2021
In this paper, we are concerned with the eigenvalue gap and eigenvalue ratio of the Dirichlet conformable fractional Sturm–Liouville problems. We show that this kind of differential equation satisfies the Sturm–Liouville property by the Prüfer ...
Yan-Hsiou Cheng
doaj   +1 more source

INVESTIGATION OF STURM-LIOUVILLE PROBLEM SOLVABILITY IN THE PROCESS OF ASYMPTOTIC SERIES CREATION [PDF]

open access: yesНаучно-технический вестник информационных технологий, механики и оптики, 2015
Subject of Research. Creation of asymptotic expansions for solutions of partial differential equations with small parameter reduces, usually, to consequent solving of the Sturm-Liouville problems chain.
A. I. Popov
doaj   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Equivalence of Sturm-Liouville Problem with Finitely Many δ-Interactions and Matrix Eigenvalue Problems

open access: yesInternational Journal of Analysis and Applications, 2018
The purpuse of this article is to show the matrix representations of Sturm-Liouville operators with finitely many δ-interactions. We show that a Sturm-Liouville problem with finitely many δ-interactions can be represented as a finite dimensional matrix ...
Abdullah Kablan, Mehmet Akif Çetin
doaj   +2 more sources

Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 969-979, August 2026.
This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
wiley   +1 more source

Identification of the coefficients of equation for a vibrating rod in acoustic diagnostics

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2020
The work is devoted to the study solving some inverse problem of identifying the coefficients of Sturm-Liouville operator. Inverse problems in vibration are concerned with constructing a vibrating system of a particular type, e.g., a string, a rod, that
Zh.A. Kaiyrbek
doaj   +1 more source

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