Oscillation for a nonlinear dynamic system with a forced term on time scales
Summary: We consider a class of two-dimensional nonlinear dynamic system with a forced term on a time scale \(\mathbb{T}\) 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 \(b(t) \neq 0\) for all \(t \in \mathbb{T}\) and \(g(u) = u\). Some examples are given to illustrate the results.
scientific article; zbMATH DE number 7023010
scientific article