标题:
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
作者:
江舜君
关键字:
解的有界性, 奇点, 小扭转定理Boundedness of Solutions; Singularity; Small Twist Theorem
期刊名称:
《Pure Mathematics》, Vol.3 No.6, 2013-11-21
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.