A Class of Nonlinear Nonlocal Singularly Perturbed Problems for Reaction Diffusion Equations With Boundary Perturbation

MO Jia-qi; WANG Hui; LIN Wan-tao

Volume 26 Issue 12

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(12): 1507-1511

MO Jia-qi, WANG Hui, LIN Wan-tao. A Class of Nonlinear Nonlocal Singularly Perturbed Problems for Reaction Diffusion Equations With Boundary Perturbation[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1507-1511.

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A Class of Nonlinear Nonlocal Singularly Perturbed Problems for Reaction Diffusion Equations With Boundary Perturbation

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

Received Date: 2003-09-15
Rev Recd Date: 2005-04-03
Publish Date: 2005-12-15

Abstract

Abstract

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

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References(9)

References

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