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.
  • loading
  • [1]
    蒲富全,具有二阶转向点方程的一致有效渐近解问题.清华大学学报.20(3)(1980),103-109.
    [2]
    郭敦仁.《数学物理方程》,人民出版社(1979).
    [3]
    Olver,F.W.J.,Asymptotics and Special Function(1974).
    [4]
    Nayfeh,A.H.,Perturbation Methods(1973).
    [5]
    Sibuya,Y.,Global Theory of a Second Order Linear Ordinary Differential Equatin with a Polynomial Coefficient,North-Holland Publishing Company(1975).
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2168) PDF downloads(536) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return