Journal of Applied Mathematics
Volume 2011 (2011), Article ID 497164, 7 pages
http://dx.doi.org/10.1155/2011/497164
Research Article

Existence and Uniqueness of Limit Cycles in a Class of Planar Differential Systems

Department of Mathematics, College of Sciences, University of Sharjah, P.O. Box 27272, United Arab Emirates

Received 2 April 2011; Accepted 21 May 2011

Academic Editor: Yongkun Li

Copyright © 2011 Khalil I. T. Al-Dosary. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper is an extension to the recent results presented by M. Sabatini about the existence and uniqueness of limit cycles of a certain class of planar differential systems in order to include other new classes. A concrete example exhibiting the applicability of the result is introduced.