Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (9): 907-926.

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EXTENDED AIRY FUNCTION AND DIFFERENTIAL EQUATIONS WITH N-TURNING POINTS

Zhang Ju-ling   

  1. Sichuan Institute of Light Industry and Chemical Technology, Zigong
  • Received:1990-06-20 Online:1991-09-18 Published:1991-09-18

Abstract: This paper studies a second order linear ordinary differential equation with n-turning points Where q1=(x-µ1)(x-µ2)…(x-µn)ƒ(x)≠0, and λ is a large parameter.The formal uniformly valid asymptotic solution of the equation is obtained based on the analysis of the three points by means of the matched method.By the work a method is developed and the applicability of this method to the n-turning points is demonstrated.

Key words: Uniformly valid, asymptotic solution, turning point

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