Nonuniform Behaviors for Skew-Evolution Semiflows in Banach Spaces
by
Codruta Stoica
Institut de Mathematiques, Universite Bordeaux 1, France
Coauthors: Mihail Megan (Faculty of Mathematics and Computer Science, West University of Timisoara, Romania)

The study of asymptotic properties, such as exponential dichotomy and exponential trichotomy, considered basic concepts that appear in the domain of dynamical systems, plays an important role in the theory of stable, instable and central manifolds. The paper emphasizes the notion of skew-evolution semiflow on Banach spaces, introduced by means of evolution semiflow and evolution cocycle and considered as a generalization for evolution operators and skew-product flows. Some asymptotic behaviours for skew-evolution semiflows and some characterizations which generalize classical results are also provided. The approach of the theory is from nonuniform point of view.

Date received: June 6, 2008