一类二阶微分方程的解的有界性

摘要

本文我们将研究下面的二阶周期系统:,其中含有一个奇点。通过Ortega的小扭转定理(引理9),对和做恰当的假设,我们得到拟周期解的存在性,从而得出所有解的有界性。In this paper, we study the following second-order periodic system: where has a singularity. Under some assumptions on the , by Ortega small twist theorem (Lemma 9), we obtain the existence of quasi-periodic solutions and boundedness of all the solutions.