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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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A Perturbation Theorem and Its Application
by
Min He
Dept of Math, Kent State University-Trumbull, Warren, OH 44483

This work is concerned with operators of abstract equations which are dependent on a multi-parameter and investigates a parameter property of the operators. A general theorem, which may be viewed as a perturbation theorem relating to the parameter, is developed first. The result is then applied to an abstract integrodifferential equation and is used to study differentiability with respect to parameters of solutions of the integrodifferential equation. The application of the obtained results to a viscoelastic equation is discussed.

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Date received: February 5, 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-01.