## International Journal of Differential Equations

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

#### Abstract

We study the existence of periodic solutions for n-th order functional differential equations ${x}^{(n)}(t)={\sum }_{i=0}^{n-1}{b}_{i}{[{x}^{(i)}(t)]}^{k}+f(x(t-\tau (t)))+p(t)$. 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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