摘要
本文应用含多个小参数的微分方程组的对角化方法,研究了一类含两个小参数的非线性向量微分方程组边值问题解的存在性,并作出了解的任意阶的渐近展开式及其余项估计。
In this paper the existence of solution of nonlinear vector boundary value Problem is discussed by the diagonalization method for systems of differential equation involving many small parameters. Where ε and μ are small positive parameters, x, α, f∈E^m, y, β, g∈E^n, z, γ, h∈E^r. Besides, the arbitrary order asymptotic expansion of solution is constructed, and its error is estimated.
出处
《福建师范大学学报（自然科学版）》
CAS
CSCD
1992年第2期1-6,共6页
Journal of Fujian Normal University：Natural Science Edition
基金
国家自然科学基金
关键词
奇摄动
非线性系统
边值问题
two parameters, system of vector differential equation, sinsular perturbation, diagonalization method
