Abstract
Let X be a Banach space, be an operator-valued sequence and let
be the discrete evolution family associated to
In this paper we prove that the family
is non-uniformly strongly stable (i.e. for every nonnegative integer m and every
if and only if it is
-approximative admissible, i.e. for every sequence
in
and every positive number
there exists the sequence
in
satisfying
such that the solution of the discrete Cauchy Problem
belongs to
Other types of asymptotic behavior of the family
are also analyzed.
AMS Subject Classifications:
Notes
No potential conflict of interest was reported by the authors.