## International Journal of Differential Equations

- Int. J. Differ. Equ.
- Volume 2011 (2011), Article ID 916279, 21 pages.

### Periodic Solutions for a Class of $n$-th Order Functional Differential Equations

Bing Song, Lijun Pan, and Jinde Cao

**Full-text: Open access**

#### Abstract

We study the existence of periodic solutions for *n*-th order functional differential
equations ${x}^{(n)}(t)={\displaystyle {\sum}_{i=0}^{n-1}{b}_{i}{[{x}^{(i)}(t)]}^{k}+f(x(t-\tau (t)))+p(t)}$. Some new results on the existence of periodic solutions of the equations are obtained. Our approach is based on the coincidence degree theory of Mawhin.

#### Article information

**Source**

Int. J. Differ. Equ., Volume 2011 (2011), Article ID 916279, 21 pages.

**Dates**

Received: 10 May 2011

Accepted: 14 July 2011

First available in Project Euclid: 25 January 2017

**Permanent link to this document**

https://projecteuclid.org/euclid.ijde/1485313242

**Digital Object Identifier**

doi:10.1155/2011/916279

**Mathematical Reviews number (MathSciNet)**

MR2843510

**Zentralblatt MATH identifier**

1239.34082

#### Citation

Song, Bing; Pan, Lijun; Cao, Jinde. Periodic Solutions for a Class of $n$ -th Order Functional Differential Equations. Int. J. Differ. Equ. 2011 (2011), Article ID 916279, 21 pages. doi:10.1155/2011/916279. https://projecteuclid.org/euclid.ijde/1485313242

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