摘要
本文应用边界层校正法讨论下述带小参数的二阶线性向量方程初值问题: εy″(x,ε)+P(ε)y′(x,ε)+Q(ε)y(x,ε)=f(x) y(0,ε)=a(ε) y′(0,ε)=b(ε)在一定条件下,获得了解的一致有效渐近展开,并给出了余项估计。
Using the method of boundary layer correcting we consider singularperturbation of initial value problem for following vector second order lineardifferential equation: εy″(x, ε) + P(ε)y′(x,ε) + Q(ε)y(x, ε) = f(x) y (0, ε) = a (ε) y′(0, ε) = b (ε) Under certain conditions, the asymptotic expansion of solution of orderN is constructed, and the remainder is estimated.
出处
《成都大学学报（自然科学版）》
1991年第2期36-41,共6页
Journal of Chengdu University（Natural Science Edition）
