In this article we construct the invariant regions for m-component reaction-diffusion systems with a tridiagonal symmetric Toeplitz matrix of diffusion coefficients and with nonhomogeneous boundary conditions. We establish the existence of global solutions, and use Lyapunov functional methods. The nonlinear reaction term is assumed to be of polynomial growth.
Submitted June 20, 2014. Published November 21, 2014.
Math Subject Classifications: 35K45, 35K57.
Key Words: Reaction-diffusion systems; invariant regions; global solution
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| Salem Abdelmalek |
Department of Mathematics, College of Sciences
Yanbu, Taibah University, Saudi Arabia
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