Skip to Main content Skip to Navigation
Theses

Stroboscopie et moyennisation dans les équations différentielles fonctionnelles à retard

Abstract : This thesis deals with retarded functional differential equations. Its aim is to extend the technique of stroboscopy initially elaborated in the context of ordinary differential equations, then to present an approach which is new in the justification of the method of averaging based on aforementioned technique. First, we propose an adapted formulation of the original technique of stroboscopy which we apply to show results of averaging for equations which can be written in the so-called normal form. Secondly, we start by the extension of the proposed technique of stroboscopy, in a natural way, to retarded functional differential equations. Finally, we use it to extend the averaging results to fast oscillating equations. The averaging results obtained in this thesis generalize those of the existing literature.
Document type :
Theses
Complete list of metadatas

Cited literature [47 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-00444149
Contributor : Mustapha Lakrib <>
Submitted on : Tuesday, January 5, 2010 - 6:49:08 PM
Last modification on : Thursday, January 9, 2020 - 12:20:10 PM
Long-term archiving on: : Friday, June 18, 2010 - 12:21:55 AM

Identifiers

  • HAL Id : tel-00444149, version 1

Collections

Citation

Mustapha Lakrib. Stroboscopie et moyennisation dans les équations différentielles fonctionnelles à retard. Mathématiques [math]. Université de Haute Alsace - Mulhouse, 2004. Français. ⟨tel-00444149⟩

Share

Metrics

Record views

358

Files downloads

2191