Displaying 41 – 60 of 79

Showing per page

Integral Equivalence of Two Systems of Differential Equations

Jarosław Morchało (1985)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si studia l'equivalenza asintotica fra le soluzioni di un sistema lineare e quelle di una perturbazione non lineare. Vengono date condizioni sufficienti per l'esistenza di un omeomorfìsmo fra le soluzioni limitate di tali sistemi.

Integral Manifolds and Perturbations of the Nonlinear Part of Systems of Autonomous Differential Equations with Impulses at Fixed Moments

Stamov, G. (1995)

Serdica Mathematical Journal

* This investigation was supported by the Bulgarian Ministry of Science and Education under Grant MM-7.Sufficient conditions are obtained for the existence of local integral manifolds of autonomous systems of differential equations with impulses at fixed moments. In case of perturbations of the nonlinear part an estimate of the difference between the manifolds is obtained.

Integrating factor

Jan Mařík (1994)

Mathematica Bohemica

The problem of integrating factor for ordinary differential equations is investigated. Conditions are given which guarantee that each solution of 1 F ( x , y ) + y ' 2 F ( x , y ) = 0 is also a solution of M ( x , y ) + y ' N ( x , y ) = 0 where 1 F = μ M and 2 F = μ N .

Intégration algorithmique des fonctions élémentairement transcendantes sur une courbe algébrique

J. H. Davenport (1984)

Annales de l'institut Fourier

On considère le problème de déterminer les solutions d’une équation différentielle ordinaire, dite de Risch sur une courbe algébrique. En fait une généralisation assez évidente de la méthode de Risch suffit mais elle nous permet de généraliser son algorithme d’intégration à toute extension élémentairement transcendante d’une extension algébrique des fonctions rationnelles.

Currently displaying 41 – 60 of 79