Results 31 to 40 of about 514,334 (168)
Boundary Value Problems, 2020 We consider the non-self-adjoint Sturm–Liouville operator on a finite interval. The inverse spectral problem is studied, which consists in recovering this operator from its eigenvalues and generalized weight numbers.
Natalia P. Bondarenko
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Uniqueness problem for accretive Schrödinger operators with complex singular coefficients
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract This paper studies the uniqueness problem for the one‐dimensional Schrödinger operator associated with the formal differential expression l[u]=−u′′+qu+i[(ru)′+ru′]$l[u] =-u^{\prime \prime }+qu + i[(ru)^{\prime }+ru^{\prime }] $ in the complex Hilbert space L2(R)$L^{2}(\mathbb {R})$.
Vladimir Mikhailets, Volodymyr Molyboga
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On a fractional Sturm-Liouville problem in higher dimensions [PDF]
, 2023 In this short paper, we consider an n-dimensional fractional Sturm-Liouville eigenvalue problem, by using fractional versions of the gradient operator involving left Caputo and right Riemann-Liouville fractional derivatives.
Ferreira, M. +2 more
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Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid
International Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 969-979, August 2026.This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
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Moisture Decomposition With Normal Modes in Global Data: Balanced and Unbalanced Components
Journal of Geophysical Research: Atmospheres, Volume 131, Issue 13, 16 July 2026.Abstract Decompositions with normal modes have been useful for numerous purposes, such as theoretical understanding of balanced and unbalanced circulations, and applications to data assimilation. However, normal mode decompositions have typically been formulated for dry dynamics without moisture.
Bradley Kumm +3 more
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Fractional Sturm-Liouville operators on compact star graphs
Demonstratio MathematicaIn 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
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Stable factorization of the Calderón problem via the Born approximation
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé +3 more
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Demonstratio Mathematica, 2023 The goal of this study is to analyse the eigenvalues and weak eigenfunctions of a new type of multi-interval Sturm-Liouville problem (MISLP) which differs from the standard Sturm-Liouville problems (SLPs) in that the Strum-Liouville equation is defined ...
Olgar Hayati
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Effect of Field Line Torsion on the Polarization of ULF Waves
Journal of Geophysical Research: Space Physics, Volume 131, Issue 5, May 2026.Abstract In this paper we suggest a simple modification of the dipole magnetic field which introduces field‐aligned currents and torsion to the field lines. The resulting field lines are not contained in the meridional planes and have resemblance to the geomagnetic field lines in the dawn and dusk flanks of the magnetosphere. We analyze polarization of
K. Kabin, A. W. Degeling, R. Rankin
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Spectral analysis of q-fractional Sturm-Liouville operators
Electronic Journal of Differential Equations, 2017 In this article, we study q-fractional Sturm-Liouville operators. Using by the functional method, we pass to a new operator. Then, showing that this operator is a maximal operator and constructing a self-adjoint dilation of the maximal dissipative ...
Bilender P. Allahverdiev, Huseyin Tuna
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