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Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (9): 883-890.

• 论文 • 上一篇    下一篇

INTEGRABLE TYPES OF NONLINEAR ORDINARY DIFFERENTIAL EQUATION SETS OF HIGHER ORDERS

汤光宋1, 原存德2   

  1. 1. Mathematics Department, Jianghan University, Wuhan 430010, P. R. China;
    2. Mathematical Department, Shanxi Teachers University, Linfen 041004, P R. China
  • 收稿日期:1994-09-27 出版日期:1995-09-18 发布日期:1995-09-18

INTEGRABLE TYPES OF NONLINEAR ORDINARY DIFFERENTIAL EQUATION SETS OF HIGHER ORDERS

Tang Guangsong1, Yuan Cunde2   

  1. 1. Mathematics Department, Jianghan University, Wuhan 430010, P. R. China;
    2. Mathematical Department, Shanxi Teachers University, Linfen 041004, P R. China
  • Received:1994-09-27 Online:1995-09-18 Published:1995-09-18

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摘要： Because of the extensive applications of nonlinear ordinary differential equation in physics,mechanics and cybernetics,there have been many papers on the exact solution to differential equation in some major publications both at home and abroad in recent years Based on these papers and in virtue of Leibniz formula,and transformation set technique,this paper puts forth the solution to nonlinear ordinary differential equation set of higher-orders, moveover,its integrability is proven.The results obtained are the generalization of those in the references.

Abstract: Because of the extensive applications of nonlinear ordinary differential equation in physics,mechanics and cybernetics,there have been many papers on the exact solution to differential equation in some major publications both at home and abroad in recent years Based on these papers and in virtue of Leibniz formula,and transformation set technique,this paper puts forth the solution to nonlinear ordinary differential equation set of higher-orders, moveover,its integrability is proven.The results obtained are the generalization of those in the references.

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