A COMPLETE EXPRESSION OF THE ASYMPTOTIC SOLUTION OF DIFFERENTIAL EQUATION WITH THREE-TURNING POINTS

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (12): 1394-1404.

A COMPLETE EXPRESSION OF THE ASYMPTOTIC SOLUTION OF DIFFERENTIAL EQUATION WITH THREE-TURNING POINTS

张居铃, 朱文莉

Sichuan Institute of Light Industry and Chemical Technology, Zigong 643003, P. R. China

收稿日期:1997-06-20 修回日期:1999-04-28 出版日期:1999-12-18 发布日期:1999-12-18

A COMPLETE EXPRESSION OF THE ASYMPTOTIC SOLUTION OF DIFFERENTIAL EQUATION WITH THREE-TURNING POINTS

Zhang Juling, Zhu Wenli

Sichuan Institute of Light Industry and Chemical Technology, Zigong 643003, P. R. China

Received:1997-06-20 Revised:1999-04-28 Online:1999-12-18 Published:1999-12-18

摘要/Abstract

摘要： In this paper, a second order linear ordinary differential equation with three-turning points is studied. This equation is as follows d²y/dx²+[λ²q₁(x)+λq₂(x,λ)]y=0, where q₁(x)=(x-μ₁)(x-μ₂)(x-μ₃)f(x),f(x)≠0,μ₁<μ₂<μ₃, and λ is a large parameter,but . By using JL function, the complete expression of the formal uniformly valid asymptotic solutions of the equation near turning point is obtained.

中图分类号:

张居铃;朱文莉. A COMPLETE EXPRESSION OF THE ASYMPTOTIC SOLUTION OF DIFFERENTIAL EQUATION WITH THREE-TURNING POINTS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(12): 1394-1404.

Zhang Juling;Zhu Wenli. A COMPLETE EXPRESSION OF THE ASYMPTOTIC SOLUTION OF DIFFERENTIAL EQUATION WITH THREE-TURNING POINTS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(12): 1394-1404.

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A COMPLETE EXPRESSION OF THE ASYMPTOTIC SOLUTION OF DIFFERENTIAL EQUATION WITH THREE-TURNING POINTS

A COMPLETE EXPRESSION OF THE ASYMPTOTIC SOLUTION OF DIFFERENTIAL EQUATION WITH THREE-TURNING POINTS

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