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6th International Conference on Differential Equations and Dynamical Systems
May 22-26, 2008

Baltimore, Maryland, USA

Organizers
Xinzhi Liu, University of Waterloo; Gaston M. N'Guerekata, Morgan State University

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Practical Stability via Lyapunov Like Functions for Stochastic Hybrid Parabolic Systems under Markovian Structural Perturbations
by
Mahmoud Anabtawi
American University of Sharjah

In this paper, the concept of practical stability in the pth moment is investigated for the solution process of stochastic parabolic systems under Markovian structural perturbations. Sufficient conditions will be obtained to ensure the practical stability of the solution of the system. This is will be achieved by developing a comparison principle and its invariants in the context of vector Lyapunov like functions and systems of partial differential inequalities. An example will also be provided to illustrate the significant of the developed results.

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Date received: February 12, 2008


Copyright © 2008 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 # caws-15.