Zhang Ju-ling. A Complete Expression of the Axymptotic Solution of Differential Equation with a N-th Order Turnlng Point[J]. Applied Mathematics and Mechanics, 1994, 15(1): 77-86.
Citation: Zhang Ju-ling. A Complete Expression of the Axymptotic Solution of Differential Equation with a N-th Order Turnlng Point[J]. Applied Mathematics and Mechanics, 1994, 15(1): 77-86.

A Complete Expression of the Axymptotic Solution of Differential Equation with a N-th Order Turnlng Point

  • Received Date: 1992-06-01
  • Publish Date: 1994-01-15
  • A second order linear ordinary differential equation has been studied,and the complete expression.of the formal uniformly valid asymptotic solutions to the equation near turning point is obtained by using extended airy function.
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    Nayfeh,A.H.Pertubation Methods,(1973).
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    Mckelvey.R.W.,The solutions of second order linear ordinary differential equations about a turning point of order two,Trans.Am.Math.Soc.,79 (1959),103-12s.
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    Moriguchi,H.,An improvement of the WKB method in the presence of turning points and the asymptotic solutions of 2 class of Hill equation,J.Phy.Soc.Japan,14 (1959),1711-1796.
    [5]
    Lynn,R.Y.and J.B.Keller,Uniform asymptotic solutions of second order lineardifferential equations with turning points,Comm.Pure Appl.Math.,(1970),23,379-408.
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