Tang Guangsong, Yuan Cunde. Integrable Types of Nonlinear Ordinary DifferentialEquation Sets of Higher 0rders[J]. Applied Mathematics and Mechanics, 1995, 16(9): 821-828.
 Citation: Tang Guangsong, Yuan Cunde. Integrable Types of Nonlinear Ordinary DifferentialEquation Sets of Higher 0rders[J]. Applied Mathematics and Mechanics, 1995, 16(9): 821-828.

# Integrable Types of Nonlinear Ordinary DifferentialEquation Sets of Higher 0rders

• Rev Recd Date: 1994-05-27
• Publish Date: 1995-09-15
• 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.
•  [1] 陈银通、杨彩梅,高阶常系数常微分方程组的一种求解法,广东民族学院学报(自然科学版),4(1990) [2] 陈银通、杨彩梅,一类可化为常系数的变系数方程组的解法,广东民族学院学报(自然科学版),4(1991), 7-10. [3] 李鸿祥.几类可积的非线性常微分方程—高阶方程,应用数学和力学,11(6)(1990), 521-527. [4] 汤光宋、董巨清,高阶非线性常微分方程的可积类型,应用数学和力学,12(11)(1991),1029-1035. [5] 汤光宋,常微分方程的两个新询可积类型,北京工业大宇学报,18(3)(1992), 92-94. [6] 汤光宋,可积常微分方程的新类型,山东轻工业学院学报(自然科学版),7(1)(1993), 71-73. [7] 董巨清、汤光宋,可化为Euler方程的新可积类型,开封大学学报,1993年第1,2期,50-57.

### 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