Boundedness of Solutions for a Class of Second-Order Periodic Systems

被引：0

作者：

Jiang, Shunjun ^{[1
]}

Ding, Yan ^{[2
]}

机构：

[1] Nanjing Univ Technol, Coll Sci, Nanjing 210009, Jiangsu, Peoples R China

[2] Nanjing Univ Technol, Overseas Educ Coll, Nanjing 210009, Jiangsu, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

DUFFING EQUATIONS; POTENTIALS;

D O I：

10.1155/2013/267572

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the following second-order periodic system: x '' + V'(x) + p(x,t) = 0, where V(x) has a singularity. Under some assumptions on the V(x) and p(x,t) by Ortega' small twist theorem, we obtain the existence of quasi-periodic solutions and boundedness of all the solutions.

引用

页数：9

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