Results 61 to 70 of about 567,385 (243)

An inverse spectral problem for Sturm–Liouville operators with frozen argument [PDF]

Journal of Mathematical Analysis and Applications, 2017
We consider second order linear differential operators possessing a term depending on the unknown function with a fixed argument and study the uniqueness of recovering the operators from the spectrum.
N. Bondarenko, Sergey Buterin, S. Vasiliev   +2 more
semanticscholar   +1 more source

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
wiley   +1 more source

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
wiley   +1 more source

A Unified Approach to Solvability and Stability of Multipoint BVPs for Langevin and Sturm–Liouville Equations with CH–Fractional Derivatives and Impulses via Coincidence Theory

Fractal and Fractional
The Langevin equation is a model for describing Brownian motion, while the Sturm–Liouville equation is an important mechanical model. This paper focuses on the solvability and stability of nonlinear impulsive Langevin and Sturm–Liouville equations with ...
Kaihong Zhao, Juqing Liu, Xiaojun Lv
doaj   +1 more source

Applications of the Fractional Sturm–Liouville Difference Problem to the Fractional Diffusion Difference Equation

International Journal of Applied Mathematics and Computer Science, 2023
This paper deals with homogeneous and non-homogeneous fractional diffusion difference equations. The fractional operators in space and time are defined in the sense of Grünwald and Letnikov.
Malinowska Agnieszka B., Odzijewicz Tatiana, Poskrobko Anna   +2 more
doaj   +1 more source

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, Samuel N. Stechmann, Nedjeljka Žagar, Valentino Neduhal   +3 more
wiley   +1 more source

Analyticity and uniform stability in the inverse spectral problem for impedance Sturm-Liouville operators

Karpatsʹkì Matematičnì Publìkacìï, 2013
We prove that the inverse spectral mapping reconstructing the impedance function of the Sturm-Liouville operators on [0; 1] in impedance form from their spectral data (two spectra or one spectrum and the corresponding norming constants) is analytic and ...
R. O. Hryniv
doaj   +1 more source

Description of the scattering data for Sturm-Liouville operators on the half-line [PDF]

Opuscula Mathematica, 2019
We describe the set of the scattering data for self-adjoint Sturm-Liouville operators on the half-line with potentials belonging to \(L_1(\mathbb{R}_+,\rho(x)\,\text{d} x)\), where \(\rho:\mathbb{R}_+\to\mathbb{R}_+\) is a monotonically nondecreasing ...
Yaroslav Mykytyuk, Nataliia Sushchyk
doaj   +1 more source

Partial inverse problems for Sturm–Liouville operators on trees [PDF]

Proceedings of the Royal Society of Edinburgh. Section A Mathematics, 2015
In this paper, inverse spectral problems for Sturm–Liouville operators on a tree (a graph without cycles) are studied. We show that if the potential on an edge is known a priori, then b – 1 spectral sets uniquely determine the potential functions on a ...
N. Bondarenko, Chung-Tsun Shieh
semanticscholar   +1 more source

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, Fabricio Macià, Cristóbal Meroño, François Nicoleau   +3 more
wiley   +1 more source