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INVARIANT REGIONS AND EXISTENCE OF GLOBAL SOLUTIONS TO REACTION-DIFFUSION SYSTEMS WITHOUT CONDITIONS ON THE GROWTH OF NONLINEARITIES
Journal article   Peer reviewed

INVARIANT REGIONS AND EXISTENCE OF GLOBAL SOLUTIONS TO REACTION-DIFFUSION SYSTEMS WITHOUT CONDITIONS ON THE GROWTH OF NONLINEARITIES

Samir Bendoukha and Salem Abdelmalek
Electronic journal of differential equations, Vol.2016(156), pp.1-11
21/06/2016

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This article concerns the existence of global solutions for a coupled 2-component reaction diffusion system with a full matrix diffusion and exponential nonlinearities. We show that some results of global and bounded solutions are established via invariant regions and the Lyapunov functional. A numerical example is used to illustrate our results.

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