摘要
本文应用微分不等式的方法,研究具有转向点的非线性系统两点边值问题的奇摄动.证明了当ε→0^+时,其解的渐近性态.
In this paper, byusing the theory and mothed of differential inequality, the author discusses the singular perturbation of boundary value problems in nonlinear systems with turning points. When all components of the solutions have different turning points, and they may have transition and corner layer behavior in neighborhoods of the turning points, different asy mptotic properties of the solution are proved, where ε→0^+.
出处
《应用数学》
CSCD
北大核心
1991年第3期36-42,共7页
Mathematica Applicata
基金
国家自然科学基金
关键词
转向点
非线性方程组
奇摄动
边值
Turning points
Nonlinear system
Singular perturbation
