Results 61 to 70 of about 10,340 (200)

Applications of the Fractional Sturm–Liouville Difference Problem to the Fractional Diffusion Difference Equation

International Journal of Applied Mathematics and Computer Science, 2023
This paper deals with homogeneous and non-homogeneous fractional diffusion difference equations. The fractional operators in space and time are defined in the sense of Grünwald and Letnikov.
Malinowska Agnieszka B., Odzijewicz Tatiana, Poskrobko Anna   +2 more
doaj   +1 more source

On the inverse scattering problem for Jacobi matrices with the spectrum on an interval, a finite system of intervals or a Cantor set of positive length

, 2001
Solving inverse scattering problem for a discrete Sturm-Liouville operator with the fast decreasing potential one gets reflection coefficients $s_\pm$ and invertible operators $I+H_{s_\pm}$, where $ H_{s_\pm}$ is the Hankel operator related to the symbol
Volberg, A., Yuditskii, P.
core   +2 more sources

Programmable Multifunctional Bistable Structures for Energy Transfer and Dissipation

Advanced Science, Volume 13, Issue 17, 23 March 2026.
Utilizing the energy conversion characteristics of asymmetric bistable beams, this study develops a programmable multifunctional system composed of multiple bistable beams for energy transfer and dissipation. The high energy density enables the system to demonstrate potential in transient scenarios such as target delivery and shock absorption ...
Xin Na, Jincong Zhang, Zhicheng Chen, Venkatarao Selamneni, Haotian Chen, Hadi Heidari, Morteza Amjadi   +6 more
wiley   +1 more source

Analyticity and uniform stability in the inverse spectral problem for impedance Sturm-Liouville operators

Karpatsʹkì Matematičnì Publìkacìï, 2013
We prove that the inverse spectral mapping reconstructing the impedance function of the Sturm-Liouville operators on [0; 1] in impedance form from their spectral data (two spectra or one spectrum and the corresponding norming constants) is analytic and ...
R. O. Hryniv
doaj   +1 more source

Description of the scattering data for Sturm-Liouville operators on the half-line [PDF]

Opuscula Mathematica, 2019
We describe the set of the scattering data for self-adjoint Sturm-Liouville operators on the half-line with potentials belonging to \(L_1(\mathbb{R}_+,\rho(x)\,\text{d} x)\), where \(\rho:\mathbb{R}_+\to\mathbb{R}_+\) is a monotonically nondecreasing ...
Yaroslav Mykytyuk, Nataliia Sushchyk
doaj   +1 more source

On the Approximation of Isolated Eigenvalues of Ordinary Differential Operators

, 2007
We extend a result of Stolz and Weidmann on the approximation of isolated eigenvalues of singular Sturm-Liouville and Dirac operators by the eigenvalues of regular operators.Comment: 4 ...
Communicated Joseph A. Ball, Gerald Teschl   +1 more
core   +2 more sources

Scattering theory for difference equations with operator coefficients

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher, Luis Silva, Boris Vertman, Monika Winklmeier   +3 more
wiley   +1 more source

Applications of the theory of generalized Fourier transforms to Tikhonov problems

Journal of Numerical Analysis and Approximation Theory
We define and study multiplier operators associated with the Sturm-Liouville operator involving a nonnegative function satisfying certain conditions.
Fethi Soltani, Akram Nemri
doaj   +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

Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities

Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT In discrete nonlinear systems, the study of nonlinear waves has revealed intriguing phenomena in various fields such as nonlinear optics, biophysics, and condensed matter physics. Discrete nonlinear Schrödinger (DNLS) equations are often employed to model these dynamics, particularly in the context of Bose–Einstein condensates and optical ...
Farrell Theodore Adriano, Hadi Susanto
wiley   +1 more source