2–5 Jul 2024
Osijek
Europe/Zagreb timezone

Admissibility and general dichotomies for evolution families

Not scheduled
20m
Osijek

Osijek

School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek, Trg Ljudevita Gaja 6, Osijek Faculty of Economics, J. J. Strossmayer University of Osijek , Trg Ljudevita Gaja 7, Osijek
Poster DS/ODE: Dynamical Systems, Ordinary Differential Equations and Applications

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)

Presentation materials

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