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

作　　者：莫嘉琪 

机构地区：[1]Department of Mathematics,Anhui Normal University [2]Division of Computational Science,E-Institute of Shanghai Universities at SJTU

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第11期1455-1460,共6页应用数学和力学（英文版）

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)

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.

关 键 词：NONLINEAR two parameters singular perturbation lower and upper solutions 

分 类 号：O175.4[理学—数学]