Results 61 to 70 of about 15,759 (194)
Fundamental Results of Conformable Sturm-Liouville Eigenvalue Problems
Complexity, 2017 We suggest a regular fractional generalization of the well-known Sturm-Liouville eigenvalue problems. The suggested model consists of a fractional generalization of the Sturm-Liouville operator using conformable derivative and with natural boundary ...
Mohammed Al-Refai, Thabet Abdeljawad
doaj +1 more source
Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients
Mathematical Methods in the Applied Sciences, Volume 48, Issue 17, Page 15875-15889, 30 November 2025.ABSTRACT A variety of inverse Sturm–Liouville problems is considered, including the two‐spectrum inverse problem, the problem of recovering the potential from the Weyl function, as well as the recovery from the spectral function. In all cases, the potential in the Sturm–Liouville equation is assumed to be complex valued.
Vladislav V. Kravchenko
wiley +1 more source
Heat Transfer in n‐Dimensional Parallelepipeds Under Zero Dirichlet Conditions
Engineering Reports, Volume 7, Issue 10, October 2025.The graphical abstract visually summarizes the analytical study of heat propagation in an n‐dimensional domain: Top Left: Shows a unit cube transformed into a parallelepiped via an affine transformation, representing the geometric generalization of the domain.
Zafar Duman Abbasov +4 more
wiley +1 more source
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
Space Weather, Volume 23, Issue 10, October 2025.Abstract The Combined Release and Radiation Effects Satellite (CRRES) observed the response of the Van Allen radiation belts to peak solar activity within solar cycle 22. This study analyses relativistic and ultra‐relativistic electron occurrence and loss timescales within the CRRES High Energy Electron Fluxometer (HEEF) data set, including during ...
R. T. Desai +5 more
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 +2 more
doaj +1 more source
Finite‐Dimensional Reductions and Finite‐Gap‐Type Solutions of Multicomponent Integrable PDEs
Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.ABSTRACT The main object of the paper is a recently discovered family of multicomponent integrable systems of partial differential equations, whose particular cases include many well‐known equations such as the Korteweg–de Vries, coupled KdV, Harry Dym, coupled Harry Dym, Camassa–Holm, multicomponent Camassa–Holm, Dullin–Gottwald–Holm, and Kaup ...
Alexey V. Bolsinov +2 more
wiley +1 more source
Sturm-Llouvllle Probleminin Rezolvent Operatörü ve Özfonksiyonları [PDF]
, 2013 Konferans Bildirisi -- Teorik ve Uygulamalı Mekanik Türk Milli Komitesi, 2013Conference Paper -- Theoretical and Applied Mechanical Turkish National Committee, 2013Bu calışmada iki noktada süreksiz olan ve sınır koşullarının birinde özdeğer parametresi ...
Mukhtarov, Oktay +2 more
core
Spectral corrections for Sturm–Liouville problems
Journal of Computational and Applied Mathematics, 2001 The authors discuss the numerical integration of linear 1-D Sturm-Liouville problems in finite and infinite intervals. A shooting method is implemented both for the eigenvalues and the eigenfunctions. Newton iterations, with their typical advantages and risks, are used to calculate an approximation of an eigenvalue.
GHELARDONI, PAOLO +2 more
openaire +2 more sources
Self‐similar instability and forced nonuniqueness: An application to the 2D euler equations
Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.Abstract Building on an approach introduced by Golovkin in the ’60s, we show that nonuniqueness in some forced partial differential equations is a direct consequence of the existence of a self‐similar linearly unstable eigenvalue: the key point is a clever choice of the forcing term removing complicated nonlinear interactions.
Michele Dolce, Giulia Mescolini
wiley +1 more source