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Oscillation of second-order forced functional dynamic equations with oscillatory potentials. (English) Zbl 1123.34051

Oscillation criteria for the second order forced dynamic equation of the form

(rx Δ ) Δ (t)+p(t)|x(τ(t))| -1 x(τ(t))+q(t)|x(θ(t))| -1 x(θ(t))=f(t)

are established. Four nice examples from difference equations illustrating the results are presented. The results can also be applied to second-order dynamic equations regardless of the choice of delta or nabla derivatives.

MSC:
34K11Oscillation theory of functional-differential equations
39A11Stability of difference equations (MSC2000)