摘要
本文应用边界层校正法以及微分不等式理论研究具有角层现象的一类含两个小参数的常微分方程边值问题。证明了摄动问题解的存在性,并构造出其解的一致有效渐近展开式。
In this paper the method of boundary layer corrections and the differential inequa-litv llcorv are devcloped to study the two-parameter boundary value problems for a class of ordinary differential equations with boundary and angular layer phenomena. We con-sider the problemL:ε2y''+εμσ(x,δ,μ)y'+f(x,y,ε,μ) = 0where e and μ are positive small parameters, pi≥0, qi≥0, i= 1,2 and p1 +p:>0, q1 +q2>0. Under appropriate assumptions the existence of solutions has been proved and the uniformly valid asymptotic expansions of the solutions have been constructed.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1990年第1期56-65,共10页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
