Zhang Ju-ling. Extended Airy Function and Differential Equations with n-Turning Points[J]. Applied Mathematics and Mechanics, 1991, 12(9): 845-862.
Citation: Zhang Ju-ling. Extended Airy Function and Differential Equations with n-Turning Points[J]. Applied Mathematics and Mechanics, 1991, 12(9): 845-862.

Extended Airy Function and Differential Equations with n-Turning Points

  • Received Date: 1990-06-20
  • Publish Date: 1991-09-15
  • 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.
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