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Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (11): 1097-1103.

• 论文 • 上一篇    下一篇

INTEGRABLE TYPES OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER-ORDERS

汤光宋1, 董巨清2   

  1. 1. Jianghan University, Wuhan;
    2. Air Force Radar Academy, Wuhan
  • 收稿日期:1990-06-11 出版日期:1991-11-18 发布日期:1991-11-18

INTEGRABLE TYPES OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER-ORDERS

Tang Guang-song1, Dong Jü-qing2   

  1. 1. Jianghan University, Wuhan;
    2. Air Force Radar Academy, Wuhan
  • Received:1990-06-11 Online:1991-11-18 Published:1991-11-18

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摘要： In this paper some integrable types of more general nonlinear ordinary differential equatients of higher-orders are proposed in virtue of Leibnite formula and fornudas of higher-order derivatives of the composite functions as well as substitution varable.The experssions for the general integrations of some of the equations are presented.The veenlts abtained are the generalization of those in the references.Finally some examples are also given

关键词: neminear chfferentral equation of higher order metgrnble krot general integral

Abstract: In this paper some integrable types of more general nonlinear ordinary differential equatients of higher-orders are proposed in virtue of Leibnite formula and fornudas of higher-order derivatives of the composite functions as well as substitution varable.The experssions for the general integrations of some of the equations are presented.The veenlts abtained are the generalization of those in the references.Finally some examples are also given

Key words: neminear chfferentral equation of higher order metgrnble krot general integral

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