摘要
作者研究了一类三阶奇摄动非线性方程组边值问题解的存在唯一性及渐近解的构造和一致有效性。通过找出两端边界层的不变流形 ,并且给出边值条件解耦的条件 ,成功构造了边界层函数。作为应用 。
This paper presents singular perturbation of boundary value problems for a class of third order nonlinear vector systems. The existence and local uniqueness of Solutions, Constructions of asymptotic Solutions and their uniform validity of the problem are studied in the paper. Boundary functions are successfully constructed through finding out invariant manifolds at both end boundary layers and giving out decoupling conditions of boundary value conditions. As an application, a corresponding problem of an equation is discussed.
出处
《华东师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2001年第2期9-17,共9页
Journal of East China Normal University(Natural Science)