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Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (2): 121-129.

• 论文 • 上一篇    下一篇

ON THE BOUNDARY VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS WITH TURNING POINTS

江福汝   

  1. Shanghai University of Technology, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai
  • 收稿日期:1989-02-24 出版日期:1991-02-18 发布日期:1991-02-18
  • 基金资助:
    National Natural Science Foundation of China

ON THE BOUNDARY VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS WITH TURNING POINTS

Jiang Fu-ru   

  1. Shanghai University of Technology, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai
  • Received:1989-02-24 Online:1991-02-18 Published:1991-02-18
  • Supported by:
    National Natural Science Foundation of China

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摘要： In this paper, we consider the boundary value problems of the form εyn-f(x,e)y'+g(x,e)y=0(-a≤x≤b,0<ε≤1)y(-a)=a,y(b)=β where f(x,0) has several and multiple zeros on the interval [-a,b]. The conditions for exhibiting boundary and interior layers are given, and the corresponding asymptotic expansions of solutions are constructed.

Abstract: In this paper, we consider the boundary value problems of the form εyn-f(x,e)y'+g(x,e)y=0(-a≤x≤b,0<ε≤1)y(-a)=a,y(b)=β where f(x,0) has several and multiple zeros on the interval [-a,b]. The conditions for exhibiting boundary and interior layers are given, and the corresponding asymptotic expansions of solutions are constructed.

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