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A class of singular perturbation solutions to semilinear equations of fourth order

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  • 1. Department of Mathematics, Anhui Normal University, Wuhu 241000,Anhui Province, P. R. China;
    2. Division of Computational Science, E-Institute of Shanghai Universities at SJTU, Shanghai 200240, P. R. China

Received date: 2009-07-03

  Revised date: 2009-09-17

  Online published: 2009-11-03

Abstract

A class of singularly perturbed boundary value problems for semilinear equations of fourth order with two parameters are considered. Under suitable conditions, using the method of lower and upper solutions, the existence and the asymptotic behavior of the solution to the boundary value problem are studied. In the present paper, the solution to the original singularly perturbed problem with two parameters has only one boundary layer.

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MO Jia-Qi . A class of singular perturbation solutions to semilinear equations of fourth order[J]. Applied Mathematics and Mechanics, 2009 , 30(11) : 1455 -1460 . DOI: 10.1007/s10483-009-1111-x

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