Open Access
2014 Oscillation for a Nonlinear Dynamic System with a Forced Term on Time Scales
Xinli Zhang, Shanliang Zhu
Abstr. Appl. Anal. 2014(SI53): 1-6 (2014). DOI: 10.1155/2014/747838

Abstract

We consider a class of two-dimensional nonlinear dynamic system with a forced term on a time scale 𝕋 and obtain sufficient conditions for all solutions of the system to be oscillatory. Our results not only unify the oscillation of two-dimensional differential systems and difference systems but also improve the oscillation results that have been established by Saker, 2005, since our results are not restricted to the case where b ( t ) 0 for all t 𝕋 and g ( u ) = u . Some examples are given to illustrate the results.

Citation

Download Citation

Xinli Zhang. Shanliang Zhu. "Oscillation for a Nonlinear Dynamic System with a Forced Term on Time Scales." Abstr. Appl. Anal. 2014 (SI53) 1 - 6, 2014. https://doi.org/10.1155/2014/747838

Information

Published: 2014
First available in Project Euclid: 27 February 2015

MathSciNet: MR3193543
Digital Object Identifier: 10.1155/2014/747838

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI53 • 2014
Back to Top