数学杂志2009，Vol.29Issue(1)：37-42,6.
一类非线性奇摄动系统的可解性及渐近解
THE SOLVABILITY AND ASYMPTOTIC SOLUTION FOR A CLASS OF NONLINEAR SINGULARLY PERTURBED SYSTEMS
摘要
Abstract
A class of nonlinear singularly perturbeds boundary value problems of differential systems is considered. Using the boundary layer corrective method the formal asymptotic solution is constructed. By using the theory of differential inequality the uniform validity of the asymptotic expansion for the solution is proved. The corresponding theorem is found.Thus the condition of the solvability for the original problem is obtained.关键词
可解性/奇摄动/微分系统/边界层Key words
solvability/singular perturbation/differential system/boundary layer分类
数理科学引用本文复制引用
姚静荪,莫嘉琪..一类非线性奇摄动系统的可解性及渐近解[J].数学杂志,2009,29(1):37-42,6.基金项目
Supported by the National Natural Science Foundation of China(40676016 and 10471039), the National Key Project for Basics Research(2003CB415101-03 and 2004CB418304), the Key Project of the Chinese Academy of Sciences(KZCX3-SW-221) and in part by E-Institu of Shanghai Municipal Education Commission (N.E03004). （40676016 and 10471039）
