Results 61 to 70 of about 5,577,530 (204)
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
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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 +3 more
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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
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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
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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 +2 more
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, 2010 碩士這篇論文是配合上解及下解(Upper and Lower Solution) 找出適當的算子，再利用 Schauder 定點定理，探討p-Laplacian算子方程在Sturm-Liouville-Like四點邊界值下對稱正解的存在性。In this paper, the Sturm–Liouville-like four-point boundary value problem with a p-Laplacian operator.
蕭宇珊; Shiau, Yu-shan
core
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
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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 +2 more
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IET Radar, Sonar &Navigation, Volume 20, Issue 1, January/December 2026.This study quantifies the impact of internal solitary wave–induced magnetic disturbances on underwater geomagnetic navigation performance in the South China Sea. A physics‐guided volumetric reconstruction framework integrating SWOT altimetry is developed to recover spatiotemporal subsurface magnetic fields.
Zhikuan Pan +6 more
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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 +1 more
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