摘要
高阶非线性常微分方程组的可积类型汤光宋(江汉大学数学系)关键词高阶非线性微分方程组;变量替换;可积类型中国分类号O175.!非线性微分方程在物理学、力学及控制论中有着广泛的应用背景,能否求出微分方程的精确解一直是人们感兴趣的问题.近年来,一些学者在这...
Based on some privious results,in virtue of Leibniz formula and transformation technique,this paper puts forward a method to solve several classes ofsystems of nonlinear ordinary differential equations of higher order. Moreover,their integrability are proved. The results obtained are the generalization of those inthe references.
出处
《华中师范大学学报(自然科学版)》
CAS
CSCD
1995年第1期20-23,共4页
Journal of Central China Normal University:Natural Sciences
关键词
非线性
可积类型
常微分方程组
system of nonlinear ordinary differential equations
transformation
integrable type