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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 Δ =pv, v Δ =-qu σ . Here we assume that p and q are nonnegative, rd-continuous functions on a time scale 𝕋 such that sup𝕋=. Indeed, we extend some known oscillation results for differential systems and difference systems to the so-called dynamic systems.

MSC:
34N05Dynamic equations on time scales or measure chains
34C05Location of integral curves, singular points, limit cycles (ODE)
References:
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