Oscillation for a Nonlinear Dynamic System with a Forced Term on Time Scales

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 $b(t)\ne 0$ for all $t\in 𝕋$ and $g(u)=u$. Some examples are given to illustrate the results.