The Nonlinear Nonlocal Singularly Perturbed Problems for Reaction Diffusion Equations

MO Jia-qi; ZHU Jiang

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(5): 466-470

MO Jia-qi, ZHU Jiang. The Nonlinear Nonlocal Singularly Perturbed Problems for Reaction Diffusion Equations[J]. Applied Mathematics and Mechanics, 2003, 24(5): 466-470.

Citation:

MO Jia-qi, ZHU Jiang. The Nonlinear Nonlocal Singularly Perturbed Problems for Reaction Diffusion Equations[J]. Applied Mathematics and Mechanics, 2003, 24(5): 466-470.

Citation:

MO Jia-qi, ZHU Jiang. The Nonlinear Nonlocal Singularly Perturbed Problems for Reaction Diffusion Equations[J]. Applied Mathematics and Mechanics, 2003, 24(5): 466-470.

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The Nonlinear Nonlocal Singularly Perturbed Problems for Reaction Diffusion Equations

MO Jia-qi¹,
ZHU Jiang²

1.
Department of Mathematics, Anhui Normal University, Wuhu, Anhiu 241000, P.R.China;
2.
ICEES, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, P.R.China

Received Date: 2001-09-04
Rev Recd Date: 2003-02-19
Publish Date: 2003-05-15

Abstract

Abstract

A class of nonlinear nonlocal for singularly perturbed Robin initial bounday value problems for reaction diffusion equations is considered.Under suitable conditions,firstly,the outer solution of the original problem is obtained,secondly,using the stretched variable,the composing expansion method and the expanding theory of power series the initial layer is constructed,finally,using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems are studied and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation is discussed.
- nonlinear,
- reaction diffusion,
- singular perturbation

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References(9)

References

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