摘要
本文借助于Liapunov第二方法获得了一类二阶系统的若干定理,并推广了[1]的结果.应用获得的定理还解决了实际问题.
In this paper,we consider the second-order nonlinear system we obtain four theorems on stability,boundedness,exlstence of periodic motlons and station-ary oscillation by means of the Liapunov's second method. Our result generalize the conclu-sion in [1]. Finally, a practical problem which was introduced by Prof. T. A. Burton is re-solved by applying these theorems in this paper.
出处
《应用数学》
CSCD
1999年第2期29-32,共4页
Mathematica Applicata
基金
国家自然科学基金!19572014