Results 1 to 10 of about 15,759 (194)

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
doaj   +4 more sources

Solutions of Sturm-Liouville Problems [PDF]

Mathematics, 2020
This paper further improves the Lie group method with Magnus expansion proposed in a previous paper by the authors, to solve some types of direct singular Sturm–Liouville problems.
Upeksha Perera, Christine Böckmann
doaj   +3 more sources

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

Matrix Representations for a Class of Eigenparameter Dependent Sturm–Liouville Problems with Discontinuity

Axioms, 2023
Matrix representations for a class of Sturm–Liouville problems with eigenparameters contained in the boundary and interface conditions were studied. Given any matrix eigenvalue problem of a certain type and an eigenparameter-dependent condition, a class ...
Shuang Li, Jinming Cai, Kun Li
doaj   +1 more source

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   +1 more source

Basic Sturm–Liouville problems [PDF]

Journal of Physics A: Mathematical and General, 2005
The aim of the paper under review is to investigate some basic features of the Sturm-Liouville eigenvalue problems when the usual derivative of functions is replaced by the \(q\)-difference operator, where ...
Annaby, M. H., Mansour, Z. S.
openaire   +1 more source

A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus

Journal of Function Spaces, 2021
In mathematical physics (such as the one-dimensional time-independent Schrödinger equation), Sturm-Liouville problems occur very frequently. We construct, with a different perspective, a Sturm-Liouville problem in multiplicative calculus by some ...
Sertac Goktas
doaj   +1 more source

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
doaj   +1 more source

Relations between Spectrum Curves of Discrete Sturm-Liouville Problem with Nonlocal Boundary Conditions and Graph Theory. II

Lietuvos Matematikos Rinkinys, 2021
In this paper, relations between discrete Sturm--Liouville problem with nonlocal integral boundary condition characteristics (poles, critical points, spectrum curves) and graphs characteristics (vertices, edges and faces) were found. The previous article
Jonas Vitkauskas, Artūras Štikonas
doaj   +1 more source

Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method

Boundary Value Problems, 2008
Solving an inverse Sturm-Liouville problem requires a mathematical process to determine unknown function in the Sturm-Liouville operator from given data in addition to the boundary values.
Chein-Shan Liu
doaj   +2 more sources