Nontrivial Equilibrium Solutions for a Semilinear Reaction-Diffusion System

GU Yong-geng; SUN Wen-jun

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GU Yong-geng, SUN Wen-jun. Nontrivial Equilibrium Solutions for a Semilinear Reaction-Diffusion System[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1264-1270.

Citation:

GU Yong-geng, SUN Wen-jun. Nontrivial Equilibrium Solutions for a Semilinear Reaction-Diffusion System[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1264-1270.

Citation:

GU Yong-geng, SUN Wen-jun. Nontrivial Equilibrium Solutions for a Semilinear Reaction-Diffusion System[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1264-1270.

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Nontrivial Equilibrium Solutions for a Semilinear Reaction-Diffusion System

GU Yong-geng^1,2,
SUN Wen-jun²

1.
Department of Mathematics, Hunan Normal University, Changsha 410081, P. R. China;

Received Date: 2003-02-25
Rev Recd Date: 2004-07-15
Publish Date: 2004-12-15

Abstract

Abstract

By the degree theory on positive cone together with the technique of a priori estimate,the nontrivial equilibrium solutions of a strong nonlinearity and weak coupling reaction diffusion system and the structure of the equilibrium solutions are discussed.
- semilinear reaction-diffusion system,
- equilibrium solution,
- priori estimate

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References(8)

References

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