一类二阶微分方程的解的有界性
Boundedness of Solutions for a Class of Second-Order Periodic Systems
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.
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