A class of singular perturbation solutions to semilinear equations of fourth order |
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| Authors: | Jia-qi Mo |
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| Institution: | Y.Y. Tseng Functional Analysis Research Center and Department of Mathematics, Harbin Normal University, Harbin 150025,P.R.China;Division of Computational Science, E-Institute of Shanghai Universities at SJTU, Shanghai 200240, P. R. China |
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| 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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| Keywords: | nonlinear two parameters singular perturbation lower and upper solutions |
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