摘要
本文主要讨论一类具有转点的非线性奇摄动边值问题，首先利用拓扑横截性定理和不动点原理得到了退化解和形式解的存在条件，讨论了上述解在奇点的光滑性条件，最后得到了一致有效的渐近估计．
In this paper the singularly perturbed boundary value problems with turning points are discussed. The topological transversality theorem is employed to study the existence of reduced solution and the conditions of existence of (t) . Finally, the existence of solution to problem (1) together with its uniformly valid asymptotic estimate is obtained using the Banach fixed point theorem.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1994年第4期401-408,共8页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
关键词
渐近估计
边值问题
奇摄动
转点
Eessential
Compact Hornotopy
Asymptotic Estimate.
