摘要
本文借助于Leibniz公式、复合函数的高阶导数公式以及变量替换的方法,给出了较为广泛的高阶非线性常微分方程的可积类型,有的还提供了通积分的表达式.所得结论推广了文献中的结果.最后列举了实例.
In this paper,some integrable types of more general nonlinear ordinary differential equations of higher-orders are proposed in virtue of Leibniz formula, and formulas of higher-order derivatives of the composite functions as veil as substitution variables. The expressions for the general integrations of some of the equations are presented. The results obtained are the generalization of those in the references. Finally, some examples are also given.
出处
《应用数学和力学》
CSCD
北大核心
1991年第11期1029-1036,共8页
Applied Mathematics and Mechanics
关键词
微分方程
可积类型
通积分
非线性
nonlinear differential equation of higher order, integrable kind, general integral
