摘要
本文研究一类二阶非线性系统的初值问题的奇摄动，揭示了其解呈现双重初始层的性质，通过引进不同量级的伸长变量，得到解的一致有效的渐近展开式．
In this paper we study the singular perturbation of initial value problem for certain second order nonlinear system. We prove that the solution has double boundarylayer properties. By introducting extened varuabkes. We obtain the uniformly effective asymptotic expansion.
出处
《应用数学学报》
CSCD
北大核心
2001年第1期49-55,共7页
Acta Mathematicae Applicatae Sinica
关键词
奇摄动
非线性系统
套层解
渐近展开
初值问题
Singular perturbation, nonlinear system, jacketed solution, asymptotic expansion
