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A spectral theory of functions and the stability and asymptotic behavior of infinite dimensional linear dynamical systems
by
Nguyen Van Minh
University of West georgia
In this work we present a new approach to the spectral theory of functions and a new framework for the Loomis-Arendt-Batty-Vu theory on the stability and asymptotic behavior of infinite dimensional linear dynamical systems. Our approach is direct and free of C0-semigroups, so the obtained results, that extend previous ones, can be applied to large classes of evolution equations and their solutions.
Date received: March 1, 2007
Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cauj-31.