Results 31 to 40 of about 11,416,461 (242)

Inverse spectral problems for energy-dependent Sturm-Liouville equations

, 2012
We study the inverse spectral problem of reconstructing energy-dependent Sturm-Liouville equations from their Dirichlet spectra and sequences of the norming constants.
Ablowitz M J, Adamjan V, Albeverio S, Albeverio S, Albeverio S, Engel K-J, Gasymov M G, Gasymov M G, Gel'fand I, Gohberg I, Gohberg I C, Gusei˘nov G S, Gusei˘nov I M, Hryniv R O, Hryniv R O, Jaulent M, Jaulent M, Jaulent M, Jonas P, Kamimura Y, Kappeler T, Kato T, Levitan B M, Maksudov F G, Maksudov F G, Markus A S, Nabiev A A, Nabiev A A, Nabiev I M, Nabiev I M, Nataliya Pronska, Pronska N, Pronska N, Pronska N, Riesz F, Rostyslav Hryniv, Sattinger D H, Savchuk A M, Savchuk A M, Savchuk A M, Savchuk A M, Serier F, Yamamoto M   +42 more
core   +1 more source

The dual eigenvalue problems of the conformable fractional Sturm–Liouville problems

Boundary Value Problems, 2021
In this paper, we are concerned with the eigenvalue gap and eigenvalue ratio of the Dirichlet conformable fractional Sturm–Liouville problems. We show that this kind of differential equation satisfies the Sturm–Liouville property by the Prüfer ...
Yan-Hsiou Cheng
doaj   +1 more source

INVESTIGATION OF STURM-LIOUVILLE PROBLEM SOLVABILITY IN THE PROCESS OF ASYMPTOTIC SERIES CREATION [PDF]

Научно-технический вестник информационных технологий, механики и оптики, 2015
Subject of Research. Creation of asymptotic expansions for solutions of partial differential equations with small parameter reduces, usually, to consequent solving of the Sturm-Liouville problems chain.
A. I. Popov
doaj   +1 more source

Eigenvalue Integro-Differential Equations for Orthogonal Polynomials on the Real Line

, 1994
The one-dimensional harmonic oscillator wave functions are solutions to a Sturm-Liouville problem posed on the whole real line. This problem generates the Hermite polynomials.
Askey R., Bender C. M., Carl M. Bender, Joshua Feinberg   +3 more
core   +1 more source

Riesz Bases of Root Vectors of Indefinite Sturm-Liouville problems with eigenparameter dependent boundary conditions, I [PDF]

, 2007
We consider a regular indefinite Sturm-Liouville problem with two self-adjoint boundary conditions, one being affinely dependent on the eigenparameter.
Binding, Paul, Ćurgus, Branko
core   +5 more sources

An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line

, 2014
The matrix Sturm-Liouville operator with an integrable potential on the half-line is considered. We study the inverse spectral problem, which consists in recovering of this operator by the Weyl matrix.
Bondarenko, Natalia
core   +1 more source

Spectral Parameter Power Series Representation for Regular Solutions of the Radial Dirac System

Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 2098-2113, February 2026.
ABSTRACT A spectral parameter power series (SPPS) representation for the regular solution of the radial Dirac system with complex coefficients is obtained, as well as a SPPS representation for the (entire) characteristic function of the corresponding spectral problem on a finite interval. Based on the SPPS representation, a numerical method for solving
Emmanuel Roque, Sergii M. Torba
wiley   +1 more source

A functional model, eigenvalues, and finite singular critical points for indefinite Sturm-Liouville operators

, 2009
Eigenvalues in the essential spectrum of a weighted Sturm-Liouville operator are studied under the assumption that the weight function has one turning point.
A. Fleige, A. Fleige, A. Fleige, A. Fleige, A.B. Mingarelli, A.N. Kochubei, B. Curgus, B. Ćurgus, B. Ćurgus, B. Ćurgus, B.M. Levitan, D. Hilbert, E.A. Coddington, E.C. Titchmarsh, E.C. Titchmarsh, F. Gesztesy, F.V. Atkinson, F.V. Atkinson, H. Langer, I. Knowles, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.S. Kac, J. Behrndt, J. Behrndt, J. Behrndt, J. Weidmann, J.F. Brasche, M. Klaus, M.G. Krein, P. Binding, P. Jonas, P. Jonas, R. Beals, R. Beals, R.C. Gilbert, R.G.D. Richardson, V.A. Derkach, V.A. Derkach, V.A. Derkach, V.A. Derkach, V.A. Derkach, V.I. Gorbachuk, W. Allegretto   +49 more
core   +3 more sources

Generalized Hyers–Ulam Stability of Laplace Equation With Neumann Boundary Condition in the Upper Half‐Space

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.
ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang, Hoewoon B. Kim, Dojin Kim   +2 more
wiley   +1 more source

Equivalence of Sturm-Liouville Problem with Finitely Many δ-Interactions and Matrix Eigenvalue Problems

International Journal of Analysis and Applications, 2018
The purpuse of this article is to show the matrix representations of Sturm-Liouville operators with finitely many δ-interactions. We show that a Sturm-Liouville problem with finitely many δ-interactions can be represented as a finite dimensional matrix ...
Abdullah Kablan, Mehmet Akif Çetin
doaj   +2 more sources