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

Anderson, Douglas R.

J. Difference Equ. Appl. 13, No. 5, 407-421 (2007).

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.

Reviewer: Ioannis P. Stavroulakis (Ioannina)

MSC:

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

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