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Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (6): 575-584.

• 论文 • 上一篇    下一篇

BOUNDARY VALUE PROBLEM FOR A SINGULARLY PERTURBED NONLINEAR SYSTEM

黄蔚章   

  1. Fuqing Branch of Fujian Normal University, Fuqing 350300, P. R. China
  • 收稿日期:1995-09-06 出版日期:1997-06-18 发布日期:1997-06-18
  • 基金资助:
    Supported by the Natural Science Foundation of Fujian Province

BOUNDARY VALUE PROBLEM FOR A SINGULARLY PERTURBED NONLINEAR SYSTEM

Huang Weizhang   

  1. Fuqing Branch of Fujian Normal University, Fuqing 350300, P. R. China
  • Received:1995-09-06 Online:1997-06-18 Published:1997-06-18
  • Supported by:
    Supported by the Natural Science Foundation of Fujian Province

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摘要： In this paper, by the technique and the method of deagonalization, the boundary value problem for second order singularly perturbed nonlinear system as follows is dealt with:εy"=f(t,y,y’,ε),y(0,ε)=a(ε),y(1,ε)=b(ε) The existance of the solution and its asymptotic properties are discussed when the eigenvaslues of Jacobi matrix fy’ has K negative real parts and N-K positve real parts.

Abstract: In this paper, by the technique and the method of deagonalization, the boundary value problem for second order singularly perturbed nonlinear system as follows is dealt with:εy"=f(t,y,y’,ε),y(0,ε)=a(ε),y(1,ε)=b(ε) The existance of the solution and its asymptotic properties are discussed when the eigenvaslues of Jacobi matrix fy’ has K negative real parts and N-K positve real parts.

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