## Abstract and Applied Analysis

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

#### Abstract

In this paper we study the following second-order periodic system: ${x}^{\prime \prime }+{V}^{\prime }(x)+p(x,t)=0,$ 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 267572, 9 pages.

Dates
First available in Project Euclid: 26 February 2014

https://projecteuclid.org/euclid.aaa/1393449715

Digital Object Identifier
doi:10.1155/2013/267572

Mathematical Reviews number (MathSciNet)
MR3143554

Zentralblatt MATH identifier
1298.34065

#### Citation

Jiang, Shunjun; Ding, Yan. Boundedness of Solutions for a Class of Second-Order Periodic Systems. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 267572, 9 pages. doi:10.1155/2013/267572. https://projecteuclid.org/euclid.aaa/1393449715

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