摘要
研究了一类非线性微分系统的奇摄动边值问题.利用边界层校正法构造了形式渐近解和用微分不等式理论,证明了解的渐近展开式的一致有效性,得到了相应的定理,从而得到了原问题的可解性条件.
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.
出处
《数学杂志》
CSCD
北大核心
2009年第1期37-42,共6页
Journal of Mathematics
基金
Supported by the National Natural Science Foundation of China(40676016 and10471039)
the National Key Project for Basics Research(2003CB415101-03 and2004CB418304)
the Key Project of the Chinese Academy of Sciences( KZCX3-SW-221)
in part by E-Institutes of Shanghai Municipal Education Commission(N.E03004)
关键词
可解性
奇摄动
微分系统
边界层
solvability, singular perturbation, differential system, boundary layer
