Results 51 to 60 of about 8,236 (196)

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, Davron Aslonqulovich Juraev, Obidjon Khayrullaevich Abdullaev, Irfan Nurhidayat, Mohd Asif Shah   +4 more
wiley   +1 more source

Continuations of Hermitian indefinite functions and corresponding canonical systems : an example [PDF]

, 2004
M. G. Krein established a close connection between the continuation problem of positive definite functions from a finite interval to the real axis and the inverse spectral problem for differential operators.
Langer, Heinz, Langer, Matthias, Sasvári, Zoltán   +2 more
core   +1 more source

Modified Numerov’s method for inverse Sturm–Liouville problems

Journal of Computational and Applied Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, Qin, Cheng, Xiaoliang, Huang, Zhengda   +2 more
openaire   +1 more source

Finite‐Dimensional Reductions and Finite‐Gap‐Type Solutions of Multicomponent Integrable PDEs

Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.
ABSTRACT The main object of the paper is a recently discovered family of multicomponent integrable systems of partial differential equations, whose particular cases include many well‐known equations such as the Korteweg–de Vries, coupled KdV, Harry Dym, coupled Harry Dym, Camassa–Holm, multicomponent Camassa–Holm, Dullin–Gottwald–Holm, and Kaup ...
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev   +2 more
wiley   +1 more source

Inverse spectral problems for Sturm--Liouville operators with matrix-valued potentials

, 2009
We give a complete description of the set of spectral data (eigenvalues and specially introduced norming constants) for Sturm--Liouville operators on the interval $[0,1]$ with matrix-valued potentials in the Sobolev space $W_2^{-1}$ and suggest an ...
Adams R A, Agranovich Z S, Albeverio S, Gasymov M G, Gasymov M G, Gelfand I M, Gesztesy F, Gohberg I, Gohberg I, Kato T, Krein M G, Krein M G, Krein M G, Krein M G, Krein M G, Krein M G, Lesch M, Levitan B M, Marchenko V A, Marchenko V A, Marchenko V A, Marchenko V A, N S Trush, Pöschel J, Ramm A G, Titchmarsh E C, Trush N S, Trush N S, Ya V Mykytyuk, Yurko V A   +29 more
core   +2 more sources

Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11161-11170, 30 July 2025.
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley   +1 more source

On an Inverse Scattering Problem for a Discontinuous Sturm-Liouville Equation with a Spectral Parameter in the Boundary Condition

Boundary Value Problems, 2010
An inverse scattering problem is considered for a discontinuous Sturm-Liouville equation on the half-line [0,∞) with a linear spectral parameter in the boundary condition.
Khanlar R. Mamedov
doaj   +2 more sources

The Partial Inverse Spectral and Nodal Problems for Sturm–Liouville Operators on a Star-Shaped Graph

Mathematics, 2022
We firstly prove the Horváth-type theorem for Sturm–Liouville operators on a star-shaped graph and then solve a new partial inverse nodal problem for this operator.
Xian-Biao Wei, Yan-Hsiou Cheng, Yu-Ping Wang   +2 more
doaj   +1 more source

An Inverse Problem for a Sturm-Liouville Operator

Journal of Mathematical Analysis and Applications, 1994
Consider an identification problem for the coefficient \(q(x)\) in the differential equation (1) \(-u''(x) + q(x) u(x) = \psi (x ...
Lowe, Bruce D., Rundell, William
openaire   +2 more sources

Improved Theoretical Estimates of the Zonal Propagation of Global Nonlinear Mesoscale Eddies

Journal of Geophysical Research: Oceans, Volume 130, Issue 6, June 2025.
Abstract Mesoscale eddies are essential for transport and mixing processes in the global ocean, with their characteristic westward propagation being a significant finding from the satellite altimetry era. Traditional predictions of their zonal propagation rely on the theoretical phase speed of long baroclinic Rossby waves; however, this approach is ...
Ran Liu, Yan Wang, Xiaoming Zhai, Dhruv Balwada, Julian Mak   +4 more
wiley   +1 more source