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	Volume 5, Issue 2 Pg 101 - 217 (December 2003)
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Far East Journal of Dynamical Systems

Far East Journal of Dynamical Systems
Volume 5, Issue 1, Pages 77 - 86 (June 2003)

OCYCLE ATTRACTORS FOR DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS
Anwar A. Al-Nayef (Jordan)

Abstract:
Asymptotic behaviour of dynamical systems is, in general, characterized by attractors, which is a consequence of the existence of absorbing sets, via semigroup evolution property. In this paper, we establish the existence of the so-called cocycle attractor for functional differential equations with infinite delay among with some examples illustrating the result.

Keywords and phrases: attractor, cocycle attractor, delay equation, infinite delay.

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