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差分方程奇异摄动问题的渐近解

吴启光

吴启光. 差分方程奇异摄动问题的渐近解[J]. 应用数学和力学, 1989, 10(12): 1033-1039.
引用本文: 吴启光. 差分方程奇异摄动问题的渐近解[J]. 应用数学和力学, 1989, 10(12): 1033-1039.
Wu Chi-kuang. Asymptotic Solution for Singular Perturbation Problems of Difference Equation[J]. Applied Mathematics and Mechanics, 1989, 10(12): 1033-1039.
Citation: Wu Chi-kuang. Asymptotic Solution for Singular Perturbation Problems of Difference Equation[J]. Applied Mathematics and Mechanics, 1989, 10(12): 1033-1039.

差分方程奇异摄动问题的渐近解

基金项目: 中国科学院科学基金资助的课题

Asymptotic Solution for Singular Perturbation Problems of Difference Equation

  • 摘要: 本文对含小参数的差分方程奇异摄动问题构造了一种新的渐近方法.
  • [1] Comstock,C.and G.C.Hsiao,Singular Perturbations for difference equation,Rocky Mountain J.Math.,6(1976).
    [2] Naidu,D.S.and A.K.Rao,Singular Perturbation analysis of discrete control systems,Lecture Notes in Math.,1154(1985).
    [3] Reinhardt,H.J.,Singular perturbation of difference methods for linear ordinary differential equations,Applicable Analysis,10(1980).
    [4] Naidu,D.S.and A.K.Rao,Singular perturbation method for initial value problems with imputs in discrete control systems.Inter.J.of Control.33,5(1981).
    [5] Dorr,F.W.,The asymptotic behavior and numerical solution of singular perturbation problems with turning points,Doctor of Philosophy University of Wisconsin(1969).
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出版历程
  • 收稿日期:  1988-08-19
  • 刊出日期:  1989-12-15

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