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Oscillation and nonoscillation criteria for linear dynamic systems on time scales. (English) Zbl 1193.34181
Summary: We establish oscillation and nonoscillation criteria for the linear dynamic system ${u}^{{\Delta }}=pv$, ${v}^{{\Delta }}=-q{u}^{\sigma }$. Here we assume that $p$ and $q$ are nonnegative, rd-continuous functions on a time scale $𝕋$ such that $sup𝕋=\infty$. Indeed, we extend some known oscillation results for differential systems and difference systems to the so-called dynamic systems.

##### MSC:
 34N05 Dynamic equations on time scales or measure chains 34C05 Location of integral curves, singular points, limit cycles (ODE)
##### Keywords:
oscillation; linear dynamic systems; time scale
##### References:
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