On a Class of Singular Perturbation Solution for Semilinear Equtions of Fourth Order

MO Jia-qi

doi:10.3879/j.issn.1000-0887.2009.11.011

Volume 30 Issue 11

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MO Jia-qi. On a Class of Singular Perturbation Solution for Semilinear Equtions of Fourth Order[J]. Applied Mathematics and Mechanics, 2009, 30(11): 1369-1373. doi: 10.3879/j.issn.1000-0887.2009.11.011

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On a Class of Singular Perturbation Solution for Semilinear Equtions of Fourth Order

doi: 10.3879/j.issn.1000-0887.2009.11.011

MO Jia-qi^1,2

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

Received Date: 2009-07-03
Rev Recd Date: 2009-09-17
Publish Date: 2009-11-15

Abstract

Abstract

A class of singularly perturbed boundary value problem for semilinear equation of fourth order with two parameters is considered. Under suitable conditions, using lower and upper solutions method, the existence and asymptotic behavior of solution for boundary value problem were studied. It is pointed out that the solution for original singularly perturbed problem with two parameters has only one boundary layer.
- semilinear,
- two parameters,
- singular perturbation,
- lower and upper solutions

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References(19)

References

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