Results 41 to 50 of about 11,416,461 (242)
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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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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Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary +2 more
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Identification of the coefficients of equation for a vibrating rod in acoustic diagnostics
Вестник КазНУ. Серия математика, механика, информатика, 2020 The work is devoted to the study solving some inverse problem of identifying the coefficients of Sturm-Liouville operator. Inverse problems in vibration are concerned with constructing a vibrating system of a particular type, e.g., a string, a rod, that
Zh.A. Kaiyrbek
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Boundary Value Problems, 2018 The present paper deals with a class of discontinuous Sturm–Liouville problems with boundary conditions rationally dependent on the eigenparameter.
Zhaowen Zheng +3 more
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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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Electronic Research ArchiveThis paper studies a discontinuous Sturm-Liouville problem in which the spectral parameter appears not only in the differential equation but also in the transmission conditions.
Lanfang Zhang, Jijun Ao, Na Zhang
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WKB Analysis of PT-Symmetric Sturm-Liouville problems
, 2012 Most studies of PT-symmetric quantum-mechanical Hamiltonians have considered the Schroedinger eigenvalue problem on an infinite domain. This paper examines the consequences of imposing the boundary conditions on a finite domain.
Andrianov A +5 more
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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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Fractal and FractionalIn this paper, we investigate the eigenvalue properties of a nonlocal Sturm–Liouville equation involving fractional integrals and fractional derivatives under different boundary conditions.
Yunyang Zhang, Shaojie Chen, Jing Li
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