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Capietto, W.D. and Liu, B. (2009) On the boundedness of solutions to a nonlinear singularoscillator. Zeitschrift für Angewandte Mathematik und Physik, 60, 1007-1034.

被以下文章引用:

• 标题: 一类等时二阶系统解的有界性Boundedness of Solutions for a Class of Second-Order Isochronous Periodic Systems

  作者: 储晨晨, 李哲晟, 孙泉, 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.4 No.1, 2014-01-24

  摘要: 在本文中，我们将研究下面的二阶周期性系统：，通过Ortega的小扭转定理，对，做适当假设，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 will study the following second-order periodic system: Under some assumptions on the , by Ortega’s small twist theorem, we obtain the existence of quasi-periodic solutions and boundedness of all the solutions.