摘要
利用Liapunov方法研究了一类四阶非线性、非自治、非齐次周期系统解的存在性、唯一性和渐近稳定性。
In this paper, we study the exsistence, uniquence and asymptotic stability of the periodic solutions for a class of fouth-order nonlinear nonautonomous peridic systems by using the method of Liapunov's function. We obtian some sufficient conditions which guarentee the exsistance, uniqueness and asymptotic stability of the periodic solutions of these systems.
出处
《重庆师范大学学报(自然科学版)》
CAS
1997年第S1期47-52,共6页
Journal of Chongqing Normal University:Natural Science
关键词
周期解
存在性
唯一性
渐近稳定性
四阶非线性系统
periodic solutions,asymptotic stability,existence and uniqueness, fourth-order nonlinear system