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

Abstract EN

We consider a class of two-dimensional nonlinear dynamic system with a forced term on a time scale ? 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∈? and g(u)=u.

Some examples are given to illustrate the results.