Results 21 to 30 of about 1,275,970 (163)

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

Boundary 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
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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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Fractional hybrid inclusion version of the Sturm–Liouville equation

Advances in Difference Equations, 2020
The Sturm–Liouville equation is one of classical famous differential equations which has been studied from different of views in the literature. In this work, we are going to review its fractional hybrid inclusion version. In this way, we investigate two
Zohreh Zeinalabedini Charandabi, Shahram Rezapour   +1 more
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Sturm-Liouville Problems with Polynomially Eigenparameter Dependent Boundary Conditions

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
Sturm-Liouville equation on a finite interval together with boundary conditions arises from the infinitesimal, vertical vibrations of a string with the ends subject to various constraints.
Ayşe Kabataş
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Non-real eigenvalues of nonlocal indefinite Sturm–Liouville problems

Boundary Value Problems, 2019
The present paper deals with non-real eigenvalues of regular nonlocal indefinite Sturm–Liouville problems. The existence of non-real eigenvalues of indefinite Sturm–Liouville differential equation with nonlocal potential K ( x , t ) $K(x,t)$ associated ...
Fu Sun, Kun Li, Jiangang Qi, Baochao Liao   +3 more
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Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]

Opuscula Mathematica
In this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
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INVESTIGATION OF STURM-LIOUVILLE PROBLEM SOLVABILITY IN THE PROCESS OF ASYMPTOTIC SERIES CREATION [PDF]

Научно-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
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New Results on a Nonlocal Sturm–Liouville Eigenvalue Problem with Fractional Integrals and Fractional Derivatives

Fractal and Fractional
In this paper, we investigate the eigenvalue properties of a nonlocal Sturm–Liouville equation involving fractional integrals and fractional derivatives under different boundary conditions.
Yunyang Zhang, Shaojie Chen, Jing Li
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The Regulator Problem to the Convection–Diffusion Equation

Mathematics, 2023
In this paper, from linear operator, semigroup and Sturm–Liouville problem theories, an abstract system model for the convection–diffusion (C–D) equation is proposed.
Andrés A. Ramírez, Francisco Jurado
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Loss of the Sturm–Liouville Property of Time-Varying Second-Order Differential Equations in the Presence of Delayed Dynamics

Mathematical and Computational Applications
This paper considers a nominal undelayed and time-varying second-order Sturm–Liouville differential equation on a finite time interval which is a nominal version of another perturbed differential equation subject to a delay in its dynamics.
Manuel De la Sen
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