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Discrete Dichotomies and Asymptotic Behavior for Abstract Retarded Functional Difference Equations in Phase Space
by
Claudio Vidal Diaz
Universidade Federal de Pernambuco-UFPE-Brazil
Coauthors: Claudio Cuevas (UFPE-Brazil)
We study the problem of asymptotic behavior between weighted bounded solutions of a system of homogeneous linear functional difference equations and its perturbation under non-classical dichotomic properties and also we obtain some results about approximation. We apply our results to Volterra difference systems with infinite delay.
Key words and phrases: Retarded functional difference equation, phase space, asymptotic behavior, discrete dichotomies, weighted bounded solutions, approximation.
Date received: December 18, 2002
Copyright © 2002 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 # cajw-56.