非线性微分方程奇摄动问题的套层解  

Cover Layer Solution for the Singularly Perturbed Problem of Nonlinear Differential Equation

作　　者：欧阳成[1] 

机构地区：[1]湖州师范学院数学系,浙江湖州313000

出　　处：《湖州师范学院学报》2001年第3期21-25,共5页Journal of Huzhou University

摘　　要：研究了一类具有套层现象的奇摄动微分方程的初值问题 .利用微分不等式理论 ,证明了问题解的一致有效性 .In this paper, the author discusses the cover layer solution of the singularly perturbed initial value problem for differential equation and proves the uniform validity of the solution for the original problem by using the theory of differential inequality.

关 键 词：奇摄动 初值问题 套层现象 非线性微分方程 

分 类 号：O175.14[理学—数学]