Li Hong-xiang. Several Classes of Integrable Nonlinear Ordinary Differential Equations (Ⅱ)——Higher-Order Equations[J]. Applied Mathematics and Mechanics, 1990, 11(6): 521-527.
Citation: Li Hong-xiang. Several Classes of Integrable Nonlinear Ordinary Differential Equations (Ⅱ)——Higher-Order Equations[J]. Applied Mathematics and Mechanics, 1990, 11(6): 521-527.

Several Classes of Integrable Nonlinear Ordinary Differential Equations (Ⅱ)——Higher-Order Equations

  • Received Date: 1989-04-29
  • Publish Date: 1990-06-15
  • In this paper, several classes of integrable nonlinear higher-order ordinary differential equations are given. It is pointed out that some known results of integrability or integrable equations are all special cases of them. These equations have a wide-ranging applied background in physics and mechanics.
  • loading
  • [1]
    李鸿样,Z, F, Starc,几类可积的变系数非线性常微分方程(I)——一阶方程,应用数学和力学.11. 3 (1990). 247-252.
    [2]
    Li Hong-xiang,Elementrary quadratures of ordinary differential equations,Amer.Math.Monthly,89,3(1982),198-208;Math.Rev.,83d:34008.
    [3]
    Li Hong-xiang and FanXing,Re-discussion on elementary quadratures of ordinary differential equations,上海铁道学院学报,8,2 (1987), 1-15.
    [4]
    Kamke,E.,《常微分方程手册》,张鸿林译.科学出版社(1980).
    [5]
    Murphy,G.M.,Ordinary Differential Equations and Their Solutions D.Van Nostrand,New York(1960).
    [6]
    李鸿祥,关于几类高阶变系数线性方程的求解,应用数学学报,6,1(1983), 29-30; MathRev,85h, 34003.
  • 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 (1638) PDF downloads(566) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return