Results 31 to 40 of about 3,611 (205)

Development of a methodology for transitioning from a spectral equation relative to a spatial variable to a differential equation relative to a spectral parameter in the Sturm-Liouville problem for a one-dimensional periodic two-layer photonic crystal

Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електроніка
Relevance. In connection with solving the problem of scattering of electromagnetic waves (diffraction problem) on objects such as photonic crystals (one-dimensional periodic unbounded), it is important to study the dispersion relation.
O. V. Kazanko, O. E. Penkina, O. V. Golovko   +2 more
doaj   +1 more source

On the equivalence of discrete Sturm–Liouville problem with nonlocal boundary conditions to the algebraic eigenvalue problem

Lietuvos Matematikos Rinkinys, 2015
We consider the finite difference approximation of the second order Sturm–Liouville equation with nonlocal boundary conditions (NBC). We investigate the condition when the discrete Sturm–Liouville problem can be transformed to an algebraic eigenvalue ...
Jurij Novickij, Artūras Štikonas
doaj   +1 more source

Existence and Stability of Ulam–Hyers and Generalized Ulam–Hyers for the Generalized Langevin–Sturm–Liouville Equation Involving Generalized Liouville–Caputo Type

Journal of Mathematics
This paper focuses on investigating the existence, uniqueness, and stability of Ulam–Hyers (U-H) and generalized Ulam–Hyers (G-U-H) solutions for the generalized Langevin–Sturm–Liouville equation, which involves generalized Liouville–Caputo derivatives ...
Muthaiah Subramanian, Bundit Unyong, Muath Awadalla   +2 more
doaj   +1 more source

Sturm-Liouville difference equations having Bessel and hydrogen atom potential type

Open Physics, 2018
In this work, we bring a different approach for Sturm-Liouville problems having Bessel and hydrogen atom type and we provide a basis for direct and inverse problems.
Bas Erdal, Ozarslan Ramazan, Baleanu Dumitru   +2 more
doaj   +1 more source

Fundamental Results of Conformable Sturm-Liouville Eigenvalue Problems

Complexity, 2017
We suggest a regular fractional generalization of the well-known Sturm-Liouville eigenvalue problems. The suggested model consists of a fractional generalization of the Sturm-Liouville operator using conformable derivative and with natural boundary ...
Mohammed Al-Refai, Thabet Abdeljawad
doaj   +1 more source

Convolution algebras arising from Sturm-Liouville transforms and applications

International Journal of Mathematics and Mathematical Sciences, 2001
A regular Sturm-Liouville eigenvalue problem gives rise to a related linear integral transform. Churchill has shown how such an integral transform yields, under certain circumstances, a generalized convolution operation.
Jason P. Huffman, Henry E. Heatherly
doaj   +1 more source

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
doaj   +1 more source

Spectral corrections for Sturm–Liouville problems

Journal of Computational and Applied Mathematics, 2001
The authors discuss the numerical integration of linear 1-D Sturm-Liouville problems in finite and infinite intervals. A shooting method is implemented both for the eigenvalues and the eigenfunctions. Newton iterations, with their typical advantages and risks, are used to calculate an approximation of an eigenvalue.
GHELARDONI, PAOLO, GHERI, GIOVANNI, MARLETTA M.   +2 more
openaire   +2 more sources

Sturm-Liouville Problem for Stationary Differential Operator with Nonlocal Two-Point Boundary Conditions

Nonlinear Analysis, 2006
The Sturm-Liouville problem with various types of two-point boundary conditions is considered in this paper. In the first part of the paper, we investigate the Sturm-Liouville problem in three cases of nonlocal two-point boundary conditions.
S. Pečiulytė, A. Štikonas
doaj   +1 more source

A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem

Abstract and Applied Analysis, 2012
We propose a numerical Taylor's Decomposition method to compute approximate eigenvalues and eigenfunctions for regular Sturm-Liouville eigenvalue problem and nonlinear Euler buckling problem very accurately for relatively large step sizes.
Meltem Evrenosoglu Adiyaman, Sennur Somali   +1 more
doaj   +1 more source