节点文献
А.М.ЛЯДУНОВ定理及其推广
A Liapounoff’s Theorem and Its Extension
【摘要】 证明(dy)/(dx)=ky+f(x),k为常数,f(x+ω)=f(x),有一个ω为周期的特解;然后推广以k为函数的情形最后推广到方程组。
【Abstract】 A Liapounoff’s theorem is proved and extended to that equation with periodic coefficient. Finally, the theorem is extended to linear differential equation systems with periodic coefficients.
【关键词】 常微分方程;
方程组;
周期函数;
周期解;
【Key words】 Differential equation; Simultaneous equations; Periodic functions; Periodic solutions;
【Key words】 Differential equation; Simultaneous equations; Periodic functions; Periodic solutions;
- 【文献出处】 山东工业大学学报 , 编辑部邮箱 ,1987年02期
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