【摘要】 本文研究了一类最普遍的四阶非线性非自治系统的周期解的存在唯一性与渐近稳定性．我们采用了类比缓交系数的方法，作出了相应的Ｌｉａｐｕｎｏｖ函数，对缓交系数作了较为精确的估计，得到了存在唯一渐近稳定的周期解的充分条件．更多还原

【Abstract】 In this paper,we study the existence,uniqueness and asymptotic stabilityof the periodic solution for a class of the most universal fourth-order nonlinear nonautonomous periodic systems. We give the relevant Liapunov funct ion by using the method of analogical slowly changing coefficients. We also give a considerably accurate est imation of the slowly changing coefficients and obtain the sufficient coeditions which guarantee the existonce, uniqueness and asymptotic stability of the periodic solutions.更多还原