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
\[ (rx^{\Delta})^{\Delta}(t)+p(t)| x(\tau(t))|^{-1}x(\tau(t))+q(t)| x(\theta(t))|^{-1}x(\theta(t))=f(t) \]
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.


34K11 Oscillation theory of functional-differential equations
39A11 Stability of difference equations (MSC2000)
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