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Eighth Mississippi State - UAB Conference on Differential Equations & Computational Simulations
May 7-9, 2009
Department of Mathematics and Statistics, Mississippi State University
Mississippi State, MS, USA

Organizers
Mississippi State University & University of Alabama - Birmingham

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Global Stability and Periodic Solutions in a Class of Differential Delay Equations
by
Anatoli F. Ivanov
Pennsylvania State University

We consider a class of differential delay equations which can be viewed as singular perturbations of difference equations. Those equations have a wide range of applications in various sciences and applied areas such as mathematical biology and physiology, life sciences, and nonlinear boundary value problems for hyperbolic partil diferential equations. We establish sufficient conditions for the global asymptotic stability of the unique equilibrium and for the existence of periodic solutions for several particular cases within the class of equations.

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Date received: March 26, 2009

Copyright © 2009 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 # caxp-77.