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Invariant regions and existence of global solutions to reaction-diffusion systems without conditions on the growth of nonlinearities
oleh: Samir Bendoukha, Salem Abdelmalek
Format: | Article |
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Diterbitkan: | Texas State University 2016-06-01 |
Deskripsi
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.