Speaker
Nevena Jurčević Peček
(University of Rijeka)
Description
There are many methods used to study the asymptotic behavior of nonautonomous systems, but one of the most famous is admissibility method. For an arbitrary noninvertible evolution family on the half-line and for $\rho:\left[ 0,\infty \right) \mapsto \left[ 0,\infty \right)$
in a large class of rate functions, we consider the notion of a $\rho$
-dichotomy with respect to a family of norms and characterize it in terms of two admissibility conditions. Results are applicable to exponential as well as polynomial dichotomies with respect to a family of norms.
Primary author
Nevena Jurčević Peček
(University of Rijeka)