Liu Zheng-rong, Xu Jun-tao. The Exponential Asymptotic Solution of Differential Equation[J]. Applied Mathematics and Mechanics, 1984, 5(2): 277-286.
Citation: Liu Zheng-rong, Xu Jun-tao. The Exponential Asymptotic Solution of Differential Equation[J]. Applied Mathematics and Mechanics, 1984, 5(2): 277-286.

The Exponential Asymptotic Solution of Differential Equation

  • Received Date: 1982-12-28
  • Publish Date: 1984-04-15
  • In this paper, the exponential asymptotic solution (E. A. S.) of differential equation is discussed Firstly, E. A. S. of the second-order differential equation is studied and the orthogonal conditions of the uniformly valid E. A. S. are found out.Next,E.A.S.in matched asymptotic method is discussed, Finally, some examples are give.
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  • [1]
    Brull, M.A.and A.I.Soler, A new perturbation technique for differential equations with small parameter, Quart Appl, Math,24(1966). 143-151.
    [2]
    Day, W B.Exponential asymptotic ezpansion for nonlinear differential equations,Quart.Appl Math,37(1979). 169-176,
    [3]
    Keller, J, B, and L.Ting, Periodic vibrations of systems governed by nonlinear partial differential equations, Come, Puse, Appl.Math,19 (1966). 371-420.
    [4]
    Fink, J.P W S, Hall and S, Khalili, Perturbation eapansion for some nonlinear wave equations, SIAM J.Appl, Math 24(1973). 575-595.
    [5]
    Ting, L.,Periodic solution of nonlinear wave equation in n-dimensional space, SIAM J Appl Math.34(1978),504-514.
    [6]
    戈鲁别夫,B.《微分方程解析理论讲义》,高等教育出版社(1956).
    [7]
    Van Dyke, M Pestusbation Method in Fluid Mechauics(1968).
    [8]
    Ting, L (摄动方法及其在力学中的应用》(讲义),中国科学院力学研究所(1980).
    [9]
    Lin, C, C, and L,A.Segel, Mathematics Applied to Detesministic Problems in the Natural Scieuce(1974).
    [10]
    Bauer, H, F.Nonlinear response of elastic plates to pulse ezcitation, 1, Appl,Mech,35(1968).47-52
    [11]
    Nayfeh, A, H Perturbation Methods(1973).
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