EXTENDED AIRY FUNCTION AND DIFFERENTIAL EQUATIONS WITH N-TURNING POINTS

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

EXTENDED AIRY FUNCTION AND DIFFERENTIAL EQUATIONS WITH N-TURNING POINTS

张居铃

Sichuan Institute of Light Industry and Chemical Technology, Zigong

收稿日期:1990-06-20 出版日期:1991-09-18 发布日期:1991-09-18

EXTENDED AIRY FUNCTION AND DIFFERENTIAL EQUATIONS WITH N-TURNING POINTS

Zhang Ju-ling

Sichuan Institute of Light Industry and Chemical Technology, Zigong

Received:1990-06-20 Online:1991-09-18 Published:1991-09-18

摘要/Abstract

摘要： This paper studies a second order linear ordinary differential equation with n-turning points Where q₁=(x-µ₁)(x-µ₂)…（x-µ_n）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.

关键词: Uniformly valid, asymptotic solution, turning point

Abstract: This paper studies a second order linear ordinary differential equation with n-turning points Where q₁=(x-µ₁)(x-µ₂)…（x-µ_n）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

张居铃. EXTENDED AIRY FUNCTION AND DIFFERENTIAL EQUATIONS WITH N-TURNING POINTS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(9): 907-926.

Zhang Ju-ling . EXTENDED AIRY FUNCTION AND DIFFERENTIAL EQUATIONS WITH N-TURNING POINTS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(9): 907-926.

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EXTENDED AIRY FUNCTION AND DIFFERENTIAL EQUATIONS WITH N-TURNING POINTS

EXTENDED AIRY FUNCTION AND DIFFERENTIAL EQUATIONS WITH N-TURNING POINTS

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