一类广义Liénard方程的概周期解

Almost Periodic Solutions to a Class of Generalized Liénard Equations

研究广义Liénard方程:x'=φ(y)-F(x),y'=-g(x)+p(t),利用Amerio的结果证明方程的解部分变元的最终有界性意味着概周期解的存在性,推广了Cieutat的主要结果.

This paper investigates bounded solutions or the existence of almost periodic solutions of the following Liénard system： x＇=φ（y）-F（x）, y＇=-g（x）＋p（t）. The authors obtain some results that the ultimate boundedness with respect to part of the solution implies the existence of an almost periodic solution by using Amerio＇s results. The results are the natural generalization of the main result by Cieutat[1].