Mathematics – Dynamical Systems
Scientific paper
2011-04-28
Mathematics
Dynamical Systems
To appear in Journal of Difference Equations and Applications
Scientific paper
The aim of this paper is to describe the structure of global attractors for non-autonomous difference systems of equations with recurrent (in particular, almost periodic) coefficients. We consider a special class of this type of systems (the so--called weak convergent systems). We study this problem in the framework of general non-autonomous dynamical systems (cocycles). We apply the general results obtained in our early papers to study the almost periodic (almost automorphic, recurrent) and asymptotically almost periodic (asymptotically almost automorphic, asymptotically recurrent) solutions of difference equations.
Caraballo Tomás
Cheban David
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