GLOBAL PULLBACK ATTRACTORS OF ${\mathbb C}$-ANALYTIC NONAUTONOMOUS DYNAMICAL SYSTEMS

Abstract

This is a systematic study of global pullback attractors of [Formula: see text]-analytic cocycles. For the large class of [Formula: see text]-analytic cocycles we give the description of structure of their pullback attractors. In particular we prove that it is trivial, i.e. the fibers of these attractors contain only one point. Several applications of these results are given (ODEs, Caratheodory's equations with almost periodic coefficients, almost periodic ODEs with impulse).