Results 11 to 20 of about 4,243,439 (89)
Asymptotic behaviour of the solution of a functional-differential equation [PDF]
, 1984 The asymptotic behaviour as t→∞ of the solution of the functional- differential equation y'(t) = -y(t/k), with y(0) = 1 and k > 1 , is derived from an integral representation by the method of steepest descents.
Tripp, CE
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Searching for missing D'Alembert waves in nonlinear system: Nizhnik-Novikov-Veselov equation [PDF]
, 2020 In linear science, the wave motion equation with general D'Alembert wave solutions is one of the fundamental models. The D'Alembert wave is an arbitrary travelling wave moving along one direction under a fixed model (material) dependent velocity. However,
Jia, Man, Lou, S. Y.
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Symmetry methods for integrable systems [PDF]
, 1996 This thesis discusses various properties of a number of differential equations which we will term "integrable". There are many definitions of this word, but we will confine ourselves to two possible characterisations — either an equation can be ...
Mulvey, Joseph Anthony, Mulvey, J.A
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On the Galilean covariance of the d'Alembert equation for acoustic phenomena [PDF]
, 2023 The covariance of the d'Alembert equation for acoustic phenomena -- which is a mechanical wave equation -- under the conventional Galilean transformation is demonstrated without the need to abandon the hypothesis that time is absolute in Classical ...
Caruso, Francisco +2 more
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A geometric approach to a noncommutative generalized d'Alembert equation
, 2000 In this paper the authors provide an account of some of their results concerning the J. D'Alembert equation especially in a suitable category of noncommutative manifolds, proving that the geometric theory of PDE's introduced by A.
PRASTARO, Agostino +3 more
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 23, 15 December 2025.ABSTRACT We apply the discrete mechanics approach to the discretisation of geometrically exact Cosserat rods. We consider discrete Cosserat rods defined on a vertex (or nodal) grid, as well as on a staggered grid, and provide a review and update of the results already obtained in Part I for the nodal model variant and, for the first time, present a ...
Holger Lang +5 more
wiley +1 more source
Ecuación de D'Alembert, de la cuerda vibrante, bajo la teoría de Lie [PDF]
, 2014 Jean le Rond D'Alembert es reconocido como el fundador de la teoría de ecuaciones diferenciales parciales. La ecuación de onda, también conocida como ecuación de D'Alembert en honor a su creador, ha sido estudiada ampliamente, desde muy diversos ángulos,
Campo Bedoya, Oscar Leandro
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, 2015 D'ALEMBERT figure sur une liste établie vers 1762 par Jean-Jacques ROUSSEAU pour envoi des exemplaires de l'Émile (document en vente chez Christie's). D'Alembert remercie Rousseau de cet envoi le 15 juin 1762 : c'est la lettre 62.12 de la Correspondance ...
Irène Passeron
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Boundary-value problems for wave equations with data on the whole boundary
Electronic Journal of Differential Equations, 2016 In this article we propose a new formulation of boundary-value problem for a one-dimensional wave equation in a rectangular domain in which boundary conditions are given on the whole boundary.
Makhmud A. Sadybekov +1 more
doaj
Nanophotonics, Volume 14, Issue 23, Page 4005-4018, 02 November 2025.Abstract Plasmonic biosensors are powerful platforms for detecting various types of analytes. Specifically, surface‐enhanced Raman spectroscopy (SERS) can enable label‐free and selective detection. Shiga toxin‐producing Escherichia coli (STEC) represents zoonotic pathogens that cause severe diseases, such as hemolytic uremic syndrome (HUS), the most ...
Massimo Rippa +12 more
wiley +1 more source