摘要
本文在弱光滑退化解的情形下,研究一类三阶奇摄动边值问题解的存在性和当ε→0^+时解的渐近性态,利用微分不等式得到解和它的导函数的一致有效渐近展开式。
In this paper we study the existence and asymptotic behavior as ε→0^+ of solution for a class of third order singularly perturbed boundary problem, under weakly smooth case of the reduced solution. Using the differential inequality, we obtain the uniformly valid asymptotic expansions of the solution and whose derivative.
出处
《福建师范大学学报（自然科学版）》
CAS
CSCD
1989年第4期9-14,共6页
Journal of Fujian Normal University：Natural Science Edition
关键词
非线性
边值问题
奇摄动
内层现象
interior layer phenomena, boundary layer phenomena, nonlinear, third order, singular perturbation, asymptotic expansion
