Results 31 to 40 of about 15,759 (194)

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

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

STURM–LIOUVILLE PROBLEMS WITH DISCONTINUOUS POTENTIAL [PDF]

Bulletin of the Australian Mathematical Society, 2008
AbstractWe consider a discontinuous Sturm–Liouville equation together with two supplementary transmission conditions at the point of discontinuity. We suggest our own approach for finding asymptotic approximation formulas for the eigenvalues of such discontinuous problems.
Akdogan, Z., Sasmaz, Z.
openaire   +3 more sources

Effect of Field Line Torsion on the Polarization of ULF Waves

Journal of Geophysical Research: Space Physics, Volume 131, Issue 5, May 2026.
Abstract In this paper we suggest a simple modification of the dipole magnetic field which introduces field‐aligned currents and torsion to the field lines. The resulting field lines are not contained in the meridional planes and have resemblance to the geomagnetic field lines in the dawn and dusk flanks of the magnetosphere. We analyze polarization of
K. Kabin, A. W. Degeling, R. Rankin
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

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

The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley   +1 more source

Identification of the coefficients of equation for a vibrating rod in acoustic diagnostics

Вестник КазНУ. Серия математика, механика, информатика, 2020
The work is devoted to the study solving some inverse problem of identifying the coefficients of Sturm-Liouville operator. Inverse problems in vibration are concerned with constructing a vibrating system of a particular type, e.g., a string, a rod, that
Zh.A. Kaiyrbek
doaj   +1 more source

Efficient computation of high index Sturm-Liouville eigenvalues for problems in physics

, 2008
Finding the eigenvalues of a Sturm-Liouville problem can be a computationally challenging task, especially when a large set of eigenvalues is computed, or just when particularly large eigenvalues are sought.
Andrew, Andrew, Andrew, Bailey, Bailey, Canosa, Coffey, Degani, G. Vanden Berghe, Gelfand, Gordon, Hairer, Iserles, Iserles, Iserles, Iserles, Iserles, Iserles, Ixaru, Ixaru, Ixaru, Ixaru, Ixaru, Ixaru, Ixaru, Ixaru, Ledoux, Ledoux, Ledoux, Ledoux, Ledoux, M. Van Daele, Magnus, Marletta, Moan, Paine, Paine, Pruess, Pruess, Pruess, Pryce, Pryce, Smooke, Strang, V. Ledoux, Vanden Berghe, Vanden Berghe, Zettl   +47 more
core   +1 more source

Multiple front and pulse solutions in spatially periodic systems

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley   +1 more source