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Oscillation of second-order nonlinear dynamic equations on time scales. (English) Zbl 1202.34067

Summary: By using the functions of the form H(t,s) and a generalized Riccati technique, we establish new Kamenev-type and interval oscillation criteria for second-order nonlinear dynamic equations on time scales of the form

(p(t)x Δ (t)) Δ +f(t,x(σ(t)))=0·

The obtained interval oscillation criteria can be applied to equations with forcing term. Two examples are included to show the significance of the results.

MSC:
34C10Qualitative theory of oscillations of ODE: zeros, disconjugacy and comparison theory
34N05Dynamic equations on time scales or measure chains