摘要
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.
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.
基金
supported by the National Natural Science Foundation of China (Nos.40676016 and 40876010)
the Knowledge Innovation Program of Chinese Academy of Sciences (No.KZCX2-YW-Q03-08)
the LASG State Key Laboratory Special Fund,and the E-Institute of Shanghai Municipal Education Commission (No.E03004)
