Results 51 to 60 of about 677 (179)

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

Quantitative Assessment of Seasonal Internal Solitary Wave–Induced Disturbances for Underwater Geomagnetic Navigation in South China Sea

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, Lin Wu, Mengya Wang, Shi Liu, Qianqian Li, Lifeng Bao, Yong Wang   +6 more
wiley   +1 more source

Numerical Simulations of Coupled Solitary Waves With Spatially Modulated Non‐Linearity

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This study investigates the dynamics of two coupled solitary waves propagating in media characterised by spatially modulated non‐linearity and variable dispersion. By employing numerical simulations of a system of coupled non‐linear Schrödinger equations (NLSEs) with varying coefficients, we analyse how inhomogeneous physical properties influence ...
Ngaka John Nchejane, Mabatho Thakedi, Shikha Binwal   +2 more
wiley   +1 more source

Sturm’s Theorems for Fractal Differential Equations

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, we investigate the spectral properties of the fractal Sturm’s problem by employing the fractal derivative. We establish and prove the fractal analogues of Sturm’s separation and Sturm’s comparison theorems. Furthermore, the self‐adjointness of the corresponding fractal differential operator is demonstrated.
Mehmet Kocabiyik, Özcan Gelişgen
wiley   +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

Fundamentals of Right Hahn q‐Symmetric Calculus and Related Inequalities

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
Hahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite integral in Hahn symmetric quantum calculus.
Muhammad Nasim Aftab, Saad Ihsan Butt, Youngsoo Seol, Pengyu Chen   +3 more
wiley   +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

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

Differential Methods for HU Stability of Backward Shift Operators via Weight Sequences

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a new concept of jth weighted backward shift operators on weighted Hardy spaces Hμ2. We introduce the operator Ωγj and characterize its boundedness in certain sequences associated with the weights. After that, we establish HU stability of the jth weighted backward shift operator Υenj and provide conditions under which stability ...
Zohreh Kefayati, Mohammad Taghi Heydari, Nawab Hussain, Hamed Alsulmi, Tareq Al-shami   +4 more
wiley   +1 more source

Fractional Sturm-Liouville operators on compact star graphs

Demonstratio Mathematica
In this article, we examine two problems: a fractional Sturm-Liouville boundary value problem on a compact star graph and a fractional Sturm-Liouville transmission problem on a compact metric graph, where the orders αi{\alpha }_{i} of the fractional ...
Mutlu Gökhan, Uğurlu Ekin
doaj   +1 more source