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Exact and Numerical Solution of the Fractional Sturm–Liouville Problem with Neumann Boundary Conditions [PDF]

Entropy, 2022
In this paper, we study the fractional Sturm–Liouville problem with homogeneous Neumann boundary conditions. We transform the differential problem to an equivalent integral one on a suitable function space.
Malgorzata Klimek, Mariusz Ciesielski, Tomasz Blaszczyk   +2 more
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Inverse Sturm-Liouville problem with analytical functions in the boundary condition [PDF]

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   +2 more sources

Relations between spectrum curves of discrete Sturm-Liouville problem with nonlocal boundary conditions and graph theory

Lietuvos Matematikos Rinkinys, 2021
Sturm-Liouville problem with nonlocal boundary conditions arises in many scientific fields such as chemistry, physics, or biology. There could be found some references to graph theory in a discrete Sturm-Liouville problem, especially in investigation of ...
Jonas Vitkauskas, Artūras Štikonas
doaj   +3 more sources

Classical and Quantum Complexity of the Sturm-Liouville Eigenvalue Problem [PDF]

, 2005
We study the approximation of the smallest eigenvalue of a Sturm-Liouville problem in the classical and quantum settings. We consider a univariate Sturm-Liouville eigenvalue problem with a nonnegative function $q$ from the class $C^2([0,1])$ and study ...
Papageorgiou, A., Wozniakowski, H.
core   +4 more sources

A Study of the Eigenfunctions of the Singular Sturm–Liouville Problem Using the Analytical Method and the Decomposition Technique

Mathematics, 2020
The history of boundary value problems for differential equations starts with the well-known studies of D. Bernoulli, J. D’Alambert, C. Sturm, J. Liouville, L. Euler, G. Birkhoff and V. Steklov.
Oktay Sh. Mukhtarov, Merve Yücel
doaj   +2 more sources

An inverse nodal problem of a conformable Sturm-Liouville problem with restrained constant delay [PDF]

Boundary Value Problems
This paper presents a new technique: a conformable derivative for the inverse problem of a Sturm-Liouville problem with restrained constant delay. Solutions to the Sturm-Liouville problem often involve eigenfunctions and eigenvalues, which have important
Auwalu Sa’idu, Hikmet Koyunbakan, Kamal Shah, Thabet Abdeljawad   +3 more
doaj   +2 more sources

Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators [PDF]

Electronic Journal of Differential Equations, 2004
It is well known that the classical linear Sturm-Liouville eigenvalue problem is self-adjoint and possesses a family of eigenfunctions which form an orthonormal basis for the space L_2.
Alexander S. Makin, H. Bevan Thompson
doaj   +3 more sources

Sturm-Liouville Problem via Coulomb Type in Difference Equations

, 2017
E. Baş, R. Ozarslan
semanticscholar   +3 more sources

Inverse Sturm–Liouville Problem with Spectral Parameter in the Boundary Conditions

Mathematics, 2023
In this paper, for the first time, we study the inverse Sturm–Liouville problem with polynomials of the spectral parameter in the first boundary condition and with entire analytic functions in the second one.
N. Bondarenko, E. E. Chitorkin
semanticscholar   +1 more source

Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems

International Journal of Analysis and Applications, 2023
This paper focuses on the study of Sturm-Liouville eigenvalue problems. In the classical Chebyshev collocation method, the Sturm-Liouville problem is discretized to a generalized eigenvalue problem where the functions represent interpolants in suitably ...
Sameh Gana
doaj   +1 more source