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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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Diffusion-driven Instability in Reaction Diffusion Systems
by
Liancheng Wang
Dept.of Math.and Stat., Mississippi State University
Coauthors: Michael Y. Li

Let A be an n ×n real matrix. Sufficient and necessary conditions for A-D to be stable for all diagonal matrix D with nonnegative entries are studied. The implications of these conditions for stability and instability of a constant steady state in reaction diffusion systems are also discussed.

Date received: March 29, 1999

Copyright © 1999 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 # cacr-31.