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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (5): 653-658.doi: https://doi.org/10.1007/s10483-009-0511-x

• Articles • Previous Articles     Next Articles

Singularly perturbed solution to semilinear reaction diffusion equations with two parameters

Jia-Qi MO1,2, Shu-De LIU1,2   

  1. 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
  • Received:2008-10-16 Revised:2009-03-25 Online:2009-05-01 Published:2009-05-01

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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.

Key words: nonlinear, two parameters, singular perturbation, reaction diffusion, initial layer, boundary layer

2010 MSC Number: 

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