THE SOLVABILITY FOR A CLASS OF SINGULARLY PERTURBED QUASI-LINEAR DIFFERENTIAL SYSTEM  

作　　者：莫嘉琪 王辉 林万涛 

机构地区：[1]Department of Mathemtics,Anhui Normal University [2]Division of Computational Science,E-Institutes of Shanghai Universities at SJTU,Shanghai 200240,China [3]Department of Mathematics,Huzhou Teachers'College,Huzhou 313000,China [4]Chinese Academy of Meteorological Sciences [5]LASG,Institute of Atmospheric Physics,Chinese Academy of Sciences

出　　处：《Acta Mathematica Scientia》2008年第3期495-500,共6页数学物理学报（B辑英文版）

基　　金：the NNSF of China(40676016 and 10471039);the National Key Project for Basic Research(2003CB415101-03 and 2004CB418304);the Key Project of the Chinese Academy of Sciences(KZCX3-SW-221);part by E-Institutes of Shanghai Municipal Education Commission(E03004)

摘　　要：The solvability for a class of singularly perturbed Robin problem of quasilinear differential system is considered. Using the boundary layer corrective method the formal asymptotic solution is constructed. And using the theory of differential inequality the uniform validity of the asymptotic expansions for solution is proved.The solvability for a class of singularly perturbed Robin problem of quasilinear differential system is considered. Using the boundary layer corrective method the formal asymptotic solution is constructed. And using the theory of differential inequality the uniform validity of the asymptotic expansions for solution is proved.

关 键 词：SOLVABILITY singular perturbation differential system boundary layer 

分 类 号：O175[理学—数学]