Journal of Applied Mathematics
Volume 2007 (2007), Article ID 12375, 15 pages
doi:10.1155/2007/12375
Abstract
The purpose of this paper is the construction of invariant regions in which we establish the global existence of solutions for reaction-diffusion systems (three equations) with a tridiagonal matrix of diffusion coefficients and with nonhomogeneous boundary conditions after the work of Kouachi (2004) on the system of reaction diffusion with a full 2-square matrix. Our techniques are based on invariant regions and Lyapunov
functional methods. The nonlinear reaction term has been supposed to be of
polynomial growth.