Results 21 to 30 of about 1,276,020 (209)

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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THE NEW ASYMPTOTICS FOR SOLUTIONS OF THE STURM–LIOUVILLE EQUATION

Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2023
Summary: In this paper, we show the development of a method that allows one to construct asymptotics for solutions to ordinary differential equations of arbitrary order with oscillating coefficients on the semiaxis. The idea of the method is presented on the example of studying the asymptotics of the Sturm-Liouville equation solutions.
Nazirova, Elvira A., Sultanaev, Yaudat T., Valeev, Nur F.   +2 more
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The Sturm-Liouville Hierarchy of Evolution Equations II

Advanced Nonlinear Studies, 2012
Abstract In a previous paper [15] we introduced the Sturm-Liouville (SL) hierarchy of evolution equations. This hierarchy includes the Korteveg-de Vries (K-dV) and the Camassa-Holm (CH) hierarchies. We also defined and discussed in detail the algebro-geometric solutions of the SL-hierarchy.
JOHNSON, RUSSELL ALLAN, L. Zampogni
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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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Reflectionless Sturm–Liouville equations

Journal of Computational and Applied Mathematics, 2007
We consider compactly supported perturbations of periodic Sturm-Liouville equations. In this context, one can use the Floquet solutions of the periodic background to define scattering coefficients. We prove that if the reflection coefficient is identically zero, then the operators corresponding to the periodic and perturbed equations, respectively, are
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On Sturm–Liouville equations with several spectral parameters [PDF]

Boletín de la Sociedad Matemática Mexicana, 2015
We give explicit formulas for a pair of linearly independent solutions of $(py')'(x)+q(x)=(λ_1r_1(x)+\cdots+λ_dr_d(x))y(x)$, thus generalizing to arbitrary $d$ previously known formulas for $d=1$. These are power series in the spectral parameters $λ_1,\dots,λ_d$ (real or complex), with coefficients which are functions on the interval of definition of ...
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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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