摘要
研究了一类高阶非线性常微分方程周期解的存在性 ,把文献 [1 ]、[2 ]中关于一、二阶方程周期解的单调迭代方法推广到 n阶方程 。
The existence of periodic solutions for a class of higher order nonlinear ordinary differential equations is discussed. The monotone iteration method for periodic solutions of first and second order differential equations in Reference [1] and [2] is extended to higher order differential equations. Some similar existence results of periodic solutions are obtained.
出处
《甘肃科学学报》
2000年第2期1-5,共5页
Journal of Gansu Sciences
基金
甘肃省自然科学基金! ( ZS991-A2 5 -0 0 7-Z)
甘肃省教委科研基金! ( 981-3 0 )资助项目
关键词
常微分方程
周期解
上ω-解
非线性
存在性
n-th order ordinary differential equation
periodic solution
ω-supersolution
ω-subsolution.
