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Asymptotic almost-equivalence of abstract evolution systems

F Alvarez(falvarez***at***dim.uchile.cl)
J Peypouquet(juan.peypouquet***at***usm.cl)

Abstract: We study the asymptotic behavior of almost-orbits of abstract evolution systems in Banach spaces with or without a Lipschitz assumption. In particular, we establish convergence, convergence in average and almost-convergence of almost-orbits both for the weak and the strong topologies based on the behavior of the orbits. We also analyze the set of almost-stationary points.

Keywords: Evolution systems, almost-orbits, asymptotic behavior

Category 1: Applications -- Science and Engineering (Basic Sciences Applications )

Category 2: Convex and Nonsmooth Optimization

Citation: Unpublished. CMM, Blanco Encalada 2120, 7mo piso, Santiago Chile. January 2008.

Download: [PDF]

Entry Submitted: 05/13/2008
Entry Accepted: 05/13/2008
Entry Last Modified: 05/13/2008

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