Salem Abdelmalek
Abstract:
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
Show me the PDF file (256 KB), TEX file, and other files for this article.
Salem Abdelmalek Department of Mathematics, College of Sciences Yanbu, Taibah University, Saudi Arabia email: sallllm@gmail.com |
Return to the EJDE web page