华东师范大学学报(自然科学版) ›› 2007, Vol. 2007 ›› Issue (5): 39-46.

• 数学 统计学 • 上一篇    下一篇

一类非线性条件稳定奇摄动系统的Dirichlet 问题

王爱峰1,2, 汪训洋2,3, 倪明康2   

  1. 1. 淮阴师范学院 数学系, 江苏 淮安, 223001; 2. 华东师范大学 数学系, 上海 200062; 3.兰州理工大学 应用数学系, 兰州730050
  • 收稿日期:2006-05-25 修回日期:2006-10-09 出版日期:2007-09-25 发布日期:2007-09-25
  • 通讯作者: 倪明康

onditionally Stable Dirichlet Problem for Nonlinear Singulary Perturbed Systems(Chinese)

WANG Ai-feng1,2, WANG Xun-yang2,3, NI Ming-kang2   

  1. 1. Department of Mathematics, Huaiyin Teachers College, Huaian Jiangsu 223001, China; 2. Department of Mathematics, East China Normal University, Shanghai} 200062, China};} 3. Department of Mathematics, Lanzhou University of Technology, Lanzhou 730050, China
  • Received:2006-05-25 Revised:2006-10-09 Online:2007-09-25 Published:2007-09-25
  • Contact: NI Ming-kang

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摘要： 用边界函数法讨论了一类非线性条件稳定的具有Dirichlet边界条件的奇摄动系统,
构造了它的形式渐近解,并证明了该形式渐近解的一致有效性.
解的存在唯一性也得到了证明.

关键词: 条件稳定, 边界函数, 形式解, 余项估计, 条件稳定, 边界函数, 形式解, 余项估计

Abstract: Using the boundary function method, this paper studied a conditionally stable Dirichlet problem for
a kind of nonlinear perturbed systems.The asymptotic solution of the problem was given and proved to be uniformly effective. And the existence
and uniqueness of the solution for the systems were proved.

Key words: boundary functions, formal solution, remainder estimatio, conditionally stable, boundary functions, formal solution, remainder estimatio

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