This paper is dedicated to the study of the problem of asymptotic stabil- ity for general non-autonomous dynamical systems (both with continuous and discrete time). We study the relation between diÆerent types of attractions ...

We prove that the linear stochastic equation dx(t) = (Ax(t)+f(t))dt+g(t)dW(t) (*) with linear operator A generating a C0-semigroup{U(t)}t≥0 and Levitan almost periodic forcing termsf and g admits a unique Levitan almost ...

In this paper we prove the analogues of Birkhoff’s theorem foronesided dynamical systems (both with continuous and discretetimes) with noncompactspace having a compact global attractor. The relation between Levinson center, ...