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6th International Conference on Differential Equations and Dynamical Systems
May 22-26, 2008

Baltimore, Maryland, USA

Organizers
Xinzhi Liu, University of Waterloo; Gaston M. N'Guerekata, Morgan State University

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Generalized Composition of Formal Power Series and Differential Equations
by
Xiao-Xiong Gan
Department of Mathematics, Morgan State University, Baltimore, MD 21251

The composition of formal power series or functional composition is an interesting topic for mathematicians recently and some developments about it have been applied to differential equation successfully. A generalized composition of formal power series was introduced in 2002 that no longer requests the nonunitness for the composed formal power series. We introduce some new development of the generalized composition and expect the future application in mathematics and other sciences including differential equations.

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Date received: December 13, 2007

Copyright © 2007 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 # cavk-42.