Global stability of almost periodic solutions to monotone sweeping processes and their response to non-monotone perturbations.

Autor: Kamenskii, Mikhail, Makarenkov, Oleg, Niwanthi Wadippuli, Lakmi, Raynaud de Fitte, Paul
Zdroj: Nonlinear Analysis: Hybrid Systems; Nov2018, Vol. 30, p213-224, 12p
Abstrakt: We develop a theory which allows making qualitative conclusions about the dynamics of both monotone and non-monotone Moreau sweeping processes. Specifically, we first prove that any sweeping processes with almost periodic monotone right-hand-sides admits a globally exponentially stable almost periodic solution. And then we describe the extent to which such a globally stable solution persists under non-monotone perturbations. [ABSTRACT FROM AUTHOR]
Databáze: Supplemental Index
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