Results 11 to 20 of about 455 (118)

The Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points [PDF]

Sahand Communications in Mathematical Analysis, 2019
In this paper, linear second-order differential equations of Sturm-Liouville type having a finite number of singularities and turning points in a finite interval are investigated.
Seyfollah Mosazadeh
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On a fractional hybrid version of the Sturm–Liouville equation

Advances in Difference Equations, 2020
It is well known that the Sturm–Liouville equation has many applications in different areas of science. Thus, it is important to review different versions of the well-known equation.
Zohreh Zeinalabedini Charandabi, Shahram Rezapour, Mina Ettefagh   +2 more
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On strong singular fractional version of the Sturm–Liouville equation

Boundary Value Problems, 2021
The Sturm–Liouville equation is among the significant differential equations having many applications, and a lot of researchers have studied it. Up to now, different versions of this equation have been reviewed, but one of its most attractive versions is
Mehdi Shabibi, Akbar Zada, Hashem Parvaneh Masiha, Shahram Rezapour   +3 more
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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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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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Bounds of Eigenvalues for Complex q-Sturm–Liouville Problem

Mathematics
The eigenvalues of complex q-Sturm–Liouville boundary value problems are the focus of this paper. The coefficients of the corresponding q-Sturm–Liouville equation provide the lower bounds on the real parts of all eigenvalues, and the real part of the ...
Xiaoxue Han
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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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