Oscillation and nonoscillation criteria for linear dynamic systems on time scales

In this paper we establish oscillation and nonoscillation criteria for the linear dynamic system uΔ=pv,vΔ=−quσ. Here we assume that pp and qq are nonnegative, rd-continuous functions on a time scale TT such that supT=∞supT=∞. Indeed, we extend some known oscillation results for differential systems and difference systems to the so-called dynamic systems.