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[2] Chenchen Chu;Zhesheng Li;Quan Sun;Shunjun Jiang(Overseas Education College, Nanjing University of Technology, Nanjing;College of Sciences, Nanjing University of Technology, Nanjing)

机构地区：[1]南京工业大学海外教育学院,南京 [2]南京工业大学理学院,南京

出　　处：《理论数学》2014年第1期38-46,共9页Pure Mathematics

摘　　要：在本文中,我们将研究下面的二阶周期性系统:xm+V’(x)+p(t) ∣x∣α=Fx(x,t),通过Ortega的小扭转定理,对V’(x),p(x,t),Fx(x,t),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:xm+V’(x)+p(t) ∣x∣α=Fx(x,t),Under some assumptions on theV’(x),p(x,t),Fx(x,t), , by Ortega’s small twist theorem, we obtain the existence of quasi-periodic solutions and boundedness of all the solutions.

关 键 词：解的有界性 奇点 小扭转定理 

分 类 号：O1[理学—数学]