Results 41 to 50 of about 5,577,530 (204)

On the complexity of the inverse Sturm–Liouville problem

Pure and Applied Analysis, 2023
This paper explores the complexity associated with solving the inverse Sturm-Liouville problem with Robin boundary conditions: given a sequence of eigenvalues and a sequence of norming constants, how many limits does a universal algorithm require to return the potential and boundary conditions?
Ben-Artzi, Jonathan, Marletta, Marco, Rösler, Frank   +2 more
openaire   +3 more sources

在有限區間向量型Sturm-Liouville方程式的唯一性定理

, 2013
博士關於定義在區間的非對稱形Sturm-Liouville 微分方程式的反問題研究及學習，Yurko ( [24] , 2006)利用Weyl矩陣，提出了矩陣邊界值問題的反問題有唯一性的定理。 在本篇論文，首先；對於Sturm-Liouville矩陣微分方程式含有一般的邊界條件的反問題，我們將証明ㄧ般的h1 , H1，亦可得到Q(x)有唯一性。利用矩陣型式邊界值反問題的唯一性，我們主要工作是在向量微分方程式邊界值反問題上，探求向量頻譜(spectral sets)與位階函數Q(x)唯一性的關係 ...
Shieh, Chung-Tsun, Chang, Tsorng-Hwa; Shieh, Chung-Tsun   +1 more
core   +1 more source

New Results on a Nonlocal Sturm–Liouville Eigenvalue Problem with Fractional Integrals and Fractional Derivatives

Fractal and Fractional
In 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
doaj   +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

Inverse nodal problem for a class of nonlocal sturm‐liouville operator

Mathematical Modelling and Analysis, 2010
Inverse nodal problem consists in constructing operators from the given nodes (zeros) of their eigenfunctions. In this work, the Sturm‐Liouville problem with one classical boundary condition and another nonlocal integral boundary condition is considered.
Chuan-Fu Yang
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

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

On a Generalized Sturm-Liouville Problem [PDF]

, 2010
Basic results of our paper are devoted to a generalized Sturm-Liouville ...
Poreda, Tadeusz, Andrzejczak, Grzegorz
core   +1 more source

Development of a methodology for transitioning from a spectral equation relative to a spatial variable to a differential equation relative to a spectral parameter in the Sturm-Liouville problem for a one-dimensional periodic two-layer photonic crystal

Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електроніка
Relevance. In connection with solving the problem of scattering of electromagnetic waves (diffraction problem) on objects such as photonic crystals (one-dimensional periodic unbounded), it is important to study the dispersion relation.
O. V. Kazanko, O. E. Penkina, O. V. Golovko   +2 more
doaj   +1 more source

On the equivalence of discrete Sturm–Liouville problem with nonlocal boundary conditions to the algebraic eigenvalue problem

Lietuvos Matematikos Rinkinys, 2015
We consider the finite difference approximation of the second order Sturm–Liouville equation with nonlocal boundary conditions (NBC). We investigate the condition when the discrete Sturm–Liouville problem can be transformed to an algebraic eigenvalue ...
Jurij Novickij, Artūras Štikonas
doaj   +1 more source