Huang Weizhang. Boundary Value Problem for a Singularly Perturbed Nonlinear System[J]. Applied Mathematics and Mechanics, 1997, 18(6): 535-544.
Citation: Huang Weizhang. Boundary Value Problem for a Singularly Perturbed Nonlinear System[J]. Applied Mathematics and Mechanics, 1997, 18(6): 535-544.

Boundary Value Problem for a Singularly Perturbed Nonlinear System

  • Received Date: 1995-09-06
  • Publish Date: 1997-06-15
  • 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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  • [1]
    K.W.Chang,Singular perturbations of a boundary problem for a vector second order differential equation,SIAM.J.Appl.Math.,30 (1976),42~54.
    [2]
    K.W.Chang,Diagonalization method for a vector boundary problem of singular perturbation type,J.Math.Anal.Appl.,48 (1974),652~665.
    [3]
    倪守平,奇摄动向量Robin问题的对角化方法,应用数学和力学,10(4) (1989),315- 321.
    [4]
    林宗池、林苏榕.某类二阶非线性系统初值问题的奇摄动,应用数学和力学,14(3) (1993) 95-100
    [5]
    刘光旭,关于奇摄动拟线性系统,应用数学和力学,8(11) (1987), 967-975
    [6]
    K.W.Chang and W.A.Coppl,Singular perturbations of initial value probems over finite interval arch,Rational Mech.Anal.,32 (1969),268~280.
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