概周期系统概周期解的存在唯一性

On the Existence and Uniqueness of Almost Deriodic Solutions for Almost Periodic Differential Equation Systems

中文关键词:  概周期系统  Ляпунов函数  概周期解

英文关键词:almost periodic system, Liapunov function, almost periodic solution

中文摘要:

      应用构造Ляпунов函数的方法，讨论了非线性微分方程系概周期解的存在唯一性.同时给出了Liénard方程存在唯一概周期解的一组充分条件.

英文摘要:

      In this paper, the existence and uniqueness of almost periodic solutions for some nonlinear differential equation systems are studied by using the method of constituting Liapunov function. A sufficient condition is obtained for the existence and uniqueness of almost periodic solution of Lienard equation.