Results 11 to 20 of about 367 (181)

Sturm–Liouville operators on time scales [PDF]

Journal of Difference Equations and Applications, 2012
We establish the connection between Sturm-Liouville equations on time scales and Sturm--Liouville equations with measure-valued coefficients. Based on this connection we generalize several results for Sturm-Liouville equations on time scales which have been obtained by various authors in the past.
Eckhardt, Jonathan, Teschl, Gerald
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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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Smoothness and approximative properties of solutions of the singular nonlinear Sturm-Liouville equation

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
It is known that the eigenvalues λn(n = 1, 2, ...) numbered in decreasing order and taking the multiplicity of the self-adjoint Sturm-Liouville operator with a completely continuous inverse operator L−1 have the following property (∗) λn → 0, when n → ∞,
M.B. Muratbekov, M.M. Muratbekov
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Identification of the coefficients of equation for a vibrating rod in acoustic diagnostics

Вестник 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
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Random Sturm–Liouville operators with point interactions [PDF]

Mathematische Nachrichten, 2021
AbstractWe study invariance for eigenvalues of selfadjoint Sturm–Liouville operators with local point interactions. Such linear transformations are formally defined by or similar expressions with instead of δ. In a probabilistic setting, we show that a point is either an eigenvalue for all ω or only for a set of ω's of measure zero.
del Rio, Rafael, Franco, Asaf L.
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Sturm–Liouville operator functions [PDF]

Dissertationes Mathematicae, 2018
Summary: Many special functions are solutions of both a differential and a functional equation. We use this duality to solve a large class of abstract Sturm-Liouville equations on the non-negative real line, initiating a theory of Sturm-Liouville operator functions; cosine, Bessel, and Legendre operator functions are special cases.
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Inverse Sturm-Liouville problem with analytical functions in the boundary condition

Open 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
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Existence of Solutions for a Coupled System of p-Laplacian Caputo–Hadamard Fractional Sturm–Liouville–Langevin Equations with Antiperiodic Boundary Conditions

Journal of Mathematics, 2022
Fractional Sturm–Liouville and Langevin equations have recently attracted much attention. In this paper, we investigate a coupled system of fractional Sturm–Liouville–Langevin equations with antiperiodic boundary conditions in the framework of Caputo ...
Jinbo Ni, Jifeng Zhang, Wei Zhang
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Sturm-Liouville Problem with Mixed Boundary Conditions for a Differential Equation with a Fractional Derivative and Its Application in Viscoelasticity Models

Axioms, 2023
In this study, we obtained a system of eigenfunctions and eigenvalues for the mixed homogeneous Sturm-Liouville problem of a second-order differential equation containing a fractional derivative operator.
Ludmila Kiryanova, Tatiana Matseevich
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Sturm–Liouville operators and their spectral functions

Journal of Mathematical Analysis and Applications, 2003
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Hassi, Seppo, Moller, M, de Snoo, H
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