Anti-periodic solutions for a class of third-order nonlinear differential equations with a deviating argument
Qiyi Fan, Hunan University of Arts and Science, Changde, Hunan, P. R. China E. J. Qualitative Theory of Diff. Equ., No. 8. (2010), pp. 1-12.
Wentao Wang, College of Mathematics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang, P. R. China
Xuejun Yi, College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, P. R. China
Lihong Huang, College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, P. R. China
| Communicated by Bo Zhang. | Received on 2009-03-17 Appeared on 2010-01-08 |
Abstract: In this paper, we study a class of third-order nonlinear differential equations with a deviating argument and establish some sufficient conditions for the existence and exponential stability of anti-periodic solutions of the equation. These conditions are new and complement to previously known results.
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