Results 21 to 30 of about 2,882 (218)

On a fractional Sturm-Liouville problem in higher dimensions [PDF]

, 2023
In this short paper, we consider an n-dimensional fractional Sturm-Liouville eigenvalue problem, by using fractional versions of the gradient operator involving left Caputo and right Riemann-Liouville fractional derivatives.
Ferreira, M., Vieira, N., Rodrigues, M. M.   +2 more
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Recovering the Sturm-Liouville Operator with Singular Potential Using Nodal Data [PDF]

, 2011
The paper deals with the Sturm-Liouville operator with singular potential. We assume that the potential is a sum of an a priori known distribution from a certain class and an unknown sufficiently smooth function.
Ignatiev, Mikhail Yu; Shieh, Chung-Tsun
core   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Sturm–Liouville operators and their spectral functions

Journal of Mathematical Analysis and Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hassi, Seppo, Moller, M, de Snoo, H
openaire   +3 more sources

Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]

, 2013
The two-dimensional Hamiltonian system (*)  y'(x)=zJH(x)y(x),  x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Harald Woracek, Matthias Langer, Langer, Matthias, Woracek, Harald   +3 more
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Zeta Determinants of Sturm—Liouville Operators [PDF]

Functional Analysis and Its Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Class of Singular Sturm–Liouville Problems with Discontinuity and an Eigenparameter-Dependent Boundary Condition

Mathematics, 2022
In this paper, we study a singular Sturm–Liouville problem with an eigenparameter-dependent boundary condition and transmission conditions at two interior points.
Jinming Cai, Zhaowen Zheng, Kun Li
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Wave equation for Sturm-Liouville operator with singular potentials [PDF]

, 2022
The paper is denoted to the initial-boundary value problem for the wave equation with the Sturm-Liouville operator with irregular (distributive) potentials.
Yeskermessuly, Alibek, Ruzhansky, Michael, Shaimardan, Serikbol   +2 more
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