Invariant Regions and Global Existence of Solutions for Reaction-Diffusion Systems with a Tridiagonal Matrix of Diffusion Coefficients and Nonhomogeneous Boundary Conditions
Keyword(s):
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.
2012 ◽
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pp. 16-29
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2021 ◽
2010 ◽
Vol 34
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pp. 798-802
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2000 ◽
Vol 130
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pp. 1165-1180
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1997 ◽
Vol 127
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pp. 1053-1066
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