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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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An Analytical Method for Some Nonlinear Difference Equations by Discrete Additive Differentiation
by
Hamid Reza Khatami
Dept of Math- Azad Islamic University of Karadj- Rajaee Shahr/ Karadj/ IRAN
Coauthors: N. Aliev, M. Jahanshahi

In this paper,we define the concept of discrete additive derivative. Then the invariant function for this kind of differentiation is introduced. Next differential equations with this kind of derivative is introduced. In the final section ,at first we consider some initial and boundary value problems which include these kinds of differential equations.Then we consider some nonlinear difference equations which are resulted from the above mentioned kind of differential equations.At the end , we present an analytical method for solving these nonlinear difference equations.

Date received: February 14, 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-69.