Singularly Perturbed Solution for Semilinear Reaction Diffusion Equations With Two Parameters

MO Jia-qi; LIU Shu-de

doi:10.3879/j.issn.1000-0887.2009.05.011

Volume 30 Issue 5

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MO Jia-qi, LIU Shu-de. Singularly Perturbed Solution for Semilinear Reaction Diffusion Equations With Two Parameters[J]. Applied Mathematics and Mechanics, 2009, 30(5): 607-612. doi: 10.3879/j.issn.1000-0887.2009.05.011

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Singularly Perturbed Solution for Semilinear Reaction Diffusion Equations With Two Parameters

doi: 10.3879/j.issn.1000-0887.2009.05.011

MO Jia-qi^1,2,
LIU Shu-de^1,2

1.
Department of Mathematics, Anhui Normal University, Wuhu, Anhui 241000, P. R. China;

Received Date: 2008-10-16
Rev Recd Date: 2009-03-25
Publish Date: 2009-05-15

Abstract

Abstract

A class of singularly perturbed initial boundary value problem for semilinear reaction diffusion equations with two parameters was considered. Under suitable conditions, using theory of differential inequalities, the existence and asymptotic behavior of solution for initial boundary value problem were studied.
- nonlinear,
- two parameters,
- singular perturbation,
- reaction diffusion,
- initial layer,
- boundary layer

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References(18)

References

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