Volume 37, Issue 15 pp. 2281-2289
Research Article

Existence of positive periodic solution for variable–coefficient third-order differential equation with singularity

Zhibo Cheng

Zhibo Cheng

School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China

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Jingli Ren

Corresponding Author

Jingli Ren

School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China

Correspondence to: Jingli Ren, School ofMathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China.

E-mail: [email protected]

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First published: 18 October 2013
Citations: 9

Abstract

In this paper, we investigate a class of singular third-order differential equations with variable coefficients. By application of Green's functions and Schauder's fixed point theorem, sufficient conditions for the existence of positive periodic solutions are established. Copyright © 2013 John Wiley & Sons, Ltd.

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