SINGULARLY PERTURBED SEMI-LINEAR BOUNDARY VALUE PROBLEM WITH DISCONTINUOUS FUNCTION  

作　　者：丁海云 倪明康 林武忠 曹扬 

机构地区：[1]Department of Mathematics,East China Normal University [2]Department of Mathematics,Shanghai Maritime University [3]Division of Computational Science,E-institute of Shanghai Jiaotong University [4]School of Economics & Management,Shanghai Institute of Technology,Shanghai 201418,China

出　　处：《Acta Mathematica Scientia》2012年第2期793-799,共7页数学物理学报（B辑英文版）

基　　金：Supported by National Natural Science Foundation of China(11071075, 11171113);National Natural Science Foundation of China-subsidized by CAS Knowledge Innovation Project (30921064,90820307);Shang Natural Science Foundation(10ZR1409200);Division of Computational Science,E-institute of Shanghai Jiaotong University(E03004)

摘　　要：A class of singularly perturbed semi-linear boundary value problems with discontinuous functions is examined in this article. Using the boundary layer function method, the asymptotic solution of such a problem is given and shown to be uniformly effective. The existence and uniqueness of the solution for the system is also proved. Numerical result is presented as an illustration to the theoretical result.A class of singularly perturbed semi-linear boundary value problems with discontinuous functions is examined in this article. Using the boundary layer function method, the asymptotic solution of such a problem is given and shown to be uniformly effective. The existence and uniqueness of the solution for the system is also proved. Numerical result is presented as an illustration to the theoretical result.

关 键 词：Singular perturbation asymptotic expansion boundary layer function in-variant manifold 

分 类 号：O174[理学—数学]