Electron. J. Diff. Equ., Vol. 2009(2009), No. 140, pp. 1-12.

Periodic solutions for a Lienard equation with two deviating arguments

Yong Wang, Junkang Tian

Abstract:
In this work, we prove the existence and uniqueness of periodic solutions for a Lienard equation with two deviating arguments. Our main tools are the Mawhin's continuation theorem and the Schwarz inequality. We obtain our results under weaker conditions than those in [14], as shown by an example in the last section of this artticle.

Submitted July 7, 2009. Published October 30, 2009.
Math Subject Classifications: 34C25, 34D40.
Key Words: Periodic solution; Lienard equation; deviating argument

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Yong Wang
School of Sciences, Southwest Petroleum University
Chengdu, Sichuan 610500, China
email: odinswang@yahoo.com.cn
Junkang Tian
School of Sciences, Southwest Petroleum University
Chengdu, Sichuan 610500, China
email: tianjunkang1980@163.com

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