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International Conference: 2004 - Dynamical Systems and Applications
July 5-10, 2004

Antalya, Turkey

Organizers
Akca Haydar, Basem S. Attili, Boucherif Abdelkader, Cho Yeol Je, Covachev Valery, Gyori Istvan, Maksimov Vyacheslav, Stavroulakis Ioannis P.

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Relationship between Optimal Derivative and Asymptotic Stability of a nonlinear O.D.E
by
Tayeb Benouaz
University of Tlemcen, B.p. 119, Tlemcen R.p. 13000, Algeria
Coauthors: Noureddine Ghouali

In this Communication, we expose a Relationship between the Optimal Derivative and Asymptotic Stability of a nonlinear O.D.E near the equilibrium point. The Optimal Derivative, introduced by Arino - Benouaz (1995), is a sort of global linearization by opposition to the nonlinear pertubation of a linear equation, which is different from the classical linearization in the neighborhood of the stationary point. The Following approach is the type of optimization. Our results are in the line of the work develloped by Arino-Benouaz ( 2000, 2003).

Date received: January 18, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calu-60.