差分方程奇异摄动问题的渐近解
Asymptotic Solution for Singular Perturbation Problems of Difference Equation
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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.Abstract: In this paper, we constructed a new asymptotic method for singular perturbation problems of difference equation with a small parameter.
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[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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