中文摘要：

主要讨论右端不连续的非自治系统在Filippov解意义下的一致最终有界性问题．首先给出不连续系统全局强一致最终有界的定义，并得到了不连续系统全局一致强最终有界的Lyapunov定理．最后给出了在一类带有不连续摩擦项的力学系统中的应用．

英文摘要：

It is mainly discussed uniformly ultimate boundedness of nonautonomous systems with discontinuous right-hand sides （in the sense of Filippov solutions）. The definition of globally uniformly strongly ultimate boundedness of discontinuous systems is presented firstly. Moreover Lyapunov theorem for globally uniformly strongly ultimate boundedness of discontinuous systems is shown. Finally the result has been applied to a class of mechanical systems with discontinuous friction item.