Invariant Regions and Global Existence of Solutions for Reaction-Diffusion Systems with a Tridiagonal Matrix of Diffusion Coefficients and Nonhomogeneous Boundary Conditions | Zendy

Abdelmalek Salem | Zendy

Open Access

Invariant Regions and Global Existence of Solutions for Reaction-Diffusion Systems with a Tridiagonal Matrix of Diffusion Coefficients and Nonhomogeneous Boundary Conditions

Author(s) -

Abdelmalek Salem

Publication year - 2007

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2007/12375

Subject(s) - tridiagonal matrix , mathematics , reaction–diffusion system , invariant (physics) , mathematical analysis , tridiagonal matrix algorithm , boundary value problem , matrix (chemical analysis) , nonlinear system , coefficient matrix , polynomial , physics , mathematical physics , eigenvalues and eigenvectors , materials science , composite material , quantum mechanics

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 Lyapunovfunctional methods. The nonlinear reaction term has been supposed to be ofpolynomial growth

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