(Academy of Sciences of Moldova, 2013) Ceban, David
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 and asymptotic
stability in the framework of general non-autonomous dynamical systems. Specially
we investigate the case of almost periodic systems, i.e., when the base (driving sys-
tem) is almost periodic. We apply the obtained results we apply to diÆerent classes
of non-autonomous evolution equations: Ordinary DiÆerential Equations, Functional
DiÆerential Equations (both with Ønite retard and neutral type) and Semi-Linear
Parabolic Equations
