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
DOI: 10.12677/PM.2014.41007, PDF, HTML, 下载: 2,480  浏览: 7,783 
作者: 储晨晨, 李哲晟, 孙 泉：南京工业大学海外教育学院，南京；江舜君：南京工业大学理学院，南京
关键词: 解的有界性；奇点；小扭转定理；Boundedness of Solutions; Singularity; Small Twist Theorem
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。
Abstract: 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.

文章引用：储晨晨, 李哲晟, 孙泉, 江舜君. 一类等时二阶系统解的有界性[J]. 理论数学, 2014, 4(1): 38-46. http://dx.doi.org/10.12677/PM.2014.41007

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