摘要
本文用Ｌｉａｐｕｎｏｖ方法研究了四阶非线性、非自治、非齐次周期系统周期解的存在性、唯一性和稳定性，并得保证周期解存在、唯一和渐近稳定的某些充分条件．
In this paper,we study the exsistence,uniqueness and stability of the periodic solutions for fourth-order nonlinear, nonautonomous and nonhomogeneous periodic systems by using the method of Liapunov's function.We obtian some suflicient conditions which guarentee the exsistance,uniqueness and asymptotic stability of the periodic solutions of these systems.
出处
《新疆大学学报（自然科学版）》
CAS
1995年第2期11-17,共7页
Journal of Xinjiang University(Natural Science Edition)
关键词
周期解
存在性
周期系统
非线性
平稳振荡
periodic solutions existence uniqueness asymptotic stability
