Invariant regions and existence of global solutions to reaction-diffusion systems without conditions on the growth of nonlinearities

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...

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Bibliographic Details
Main Authors: Samir Bendoukha, Salem Abdelmalek
Format: Article
Language:English
Published: Texas State University 2016-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/156/abstr.html