Oscillation criteria for two-dimensional dynamic systems on time scales

摘要

We establish some oscillation criteria for the two-dimensional dynamic system {xΔ(t)=b(t)g[yσ(t)],yΔ(t)=−a(t)f[x(t)], on a time scale T. Our results not only unify the oscillation of two-dimensional differential systems and difference systems, but include the oscillation results for differential systems and provide new oscillation criteria for difference systems. Several examples are considered to illustrate the main results.