Singularly Perturbed Reaction Diffusion Equations With Time Delay

MO Jia-qi; WEN Zhao-hui

doi:10.3879/j.issn.1000-0887.2010.06.011

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MO Jia-qi, WEN Zhao-hui. Singularly Perturbed Reaction Diffusion Equations With Time Delay[J]. Applied Mathematics and Mechanics, 2010, 31(6): 739-744. doi: 10.3879/j.issn.1000-0887.2010.06.011

Citation:

MO Jia-qi, WEN Zhao-hui. Singularly Perturbed Reaction Diffusion Equations With Time Delay[J]. Applied Mathematics and Mechanics, 2010, 31(6): 739-744. doi: 10.3879/j.issn.1000-0887.2010.06.011

Citation:

MO Jia-qi, WEN Zhao-hui. Singularly Perturbed Reaction Diffusion Equations With Time Delay[J]. Applied Mathematics and Mechanics, 2010, 31(6): 739-744. doi: 10.3879/j.issn.1000-0887.2010.06.011

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Singularly Perturbed Reaction Diffusion Equations With Time Delay

doi: 10.3879/j.issn.1000-0887.2010.06.011

MO Jia-qi^1,2,
WEN Zhao-hui³

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

Received Date: 1900-01-01
Rev Recd Date: 2010-05-10
Publish Date: 2010-06-15

Abstract

Abstract

A class of differential difference reaction diffusion equations initial boundary problem with a small time delay was considered. Under suitable conditions and by using method of the stretched variable, the formal asymptotic solution was constructed. And then, by using the theory of differential inequalities, the uniformly validity of solution was proved.
- non linear,
- reaction diffusion,
- singular perturbation,
- time delay

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References(21)

References

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