奇摄动非线性系统初值问题的套层解  

JACKETED SOLUTION OF INITIAL VALUE PROBLEM FOR SINGULARLY PERTURBED NONLINEAR SYSTEM

作　　者：陈育森[1] 黄蔚章[1] 

机构地区：[1]福建师范大学福清分校,福清350300

出　　处：《应用数学学报》2001年第1期49-55,共7页Acta Mathematicae Applicatae Sinica

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.

关 键 词：奇摄动 非线性系统 套层解 渐近展开 初值问题 

分 类 号：O175.14[理学—数学]