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Singularly perturbed solution to semilinear reaction diffusion equations with two parameters
Authors:Jia-qi Mo  Shu-de Liu
Affiliation:1. Department of Mathematics, Anhui Normal University, Wuhu 241000,Anhui Province, P. R. China;2. Division of Computational Science, E-Institute of Shanghai Universities at SJTU,Shanghai 200240, P. R. China
Abstract:A class of singularly perturbed initial boundary value problems for semilinear reaction diffusion equations with two parameters is considered. Under suitable conditions and using the theory of differential inequalities,the existence and the asymptotic behavior of the solution to the initial boundary value problem are studied.
Keywords:nonlinear  two parameters  singular perturbation  reaction diffusion  initial layer  boundary layer
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