Results 51 to 60 of about 15,725 (152)
Journal of MathematicsThis paper focuses on investigating the existence, uniqueness, and stability of Ulam–Hyers (U-H) and generalized Ulam–Hyers (G-U-H) solutions for the generalized Langevin–Sturm–Liouville equation, which involves generalized Liouville–Caputo derivatives ...
Muthaiah Subramanian +2 more
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Variable-step finite difference schemes for the solution of Sturm-Liouville problems
, 2014 We discuss the solution of regular and singular Sturm-Liouville problems by means of High Order Finite Difference Schemes. We describe a code to define a discrete problem and its numerical solution by means of linear algebra techniques.
Amodio, Pierluigi, Settanni, Giuseppina
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Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract The representation of an analytic function as a series involving q$q$‐polynomials is a fundamental problem in classical analysis and approximation theory [Ramanujan J. 19 (2009), no. 3, 281–303]. In this paper, our investigation is focusing on q$q$‐analog complex Hermite polynomials, which were motivated by Ismail and Zhang [Adv. Appl.
Jian Cao
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Sturm-Liouville difference equations having Bessel and hydrogen atom potential type
Open Physics, 2018 In this work, we bring a different approach for Sturm-Liouville problems having Bessel and hydrogen atom type and we provide a basis for direct and inverse problems.
Bas Erdal +2 more
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Spectral Parameter Power Series for Zakharov‐Shabat Direct and Inverse Scattering Problems
Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14661-14671, 15 November 2025.ABSTRACT We study the direct and inverse scattering problems for the Zakharov‐Shabat system. Representations for the Jost solutions are obtained in the form of the power series in terms of a transformed spectral parameter. In terms of that parameter, the Jost solutions are convergent power series in the unit disk.
Vladislav V. Kravchenko
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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
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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
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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
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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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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
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