MULTIPLE LAYER BEHAVIOR OF BOUNDARY VALUE PROBLEM FOR SINGULARLY PERTURBED n-TH ORDER NONLINEAR DIFFERENTIAL EQUATION

• 作者: Chen Xiu
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 奇异摄动 非线性微分方程 边值问题 多边界层
• 年，卷（期）: 2007,（2）
• 页码范围: 131-135
• 页数: 5页
• 分类号: O175.29

摘要

<正>In this paper,we study the singular perturbation of boundary value problem for a class of n-th order nonlinear differential equation,the solution is shown to exhibit multiple layer behavior.According to different layers and by introducing extended variable,we obtain the uniformly effective asymptotic expansion with different boundary layer correction term.