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Zbl 1123.34051
Anderson, Douglas R.
Oscillation of second-order forced functional dynamic equations with oscillatory potentials.
(English)
[J] J. Difference Equ. Appl. 13, No. 5, 407-421 (2007). ISSN 1023-6198

Oscillation criteria for the second order forced dynamic equation of the form $$(rx^{\Delta})^{\Delta}(t)+p(t)\vert x(\tau(t))\vert^{-1}x(\tau(t))+q(t)\vert x(\theta(t))\vert^{-1}x(\theta(t))=f(t)$$ 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.
[Ioannis P. Stavroulakis (Ioannina)]
MSC 2000:
*34K11 Oscillation theory of functional-differential equations
39A11 Stability of difference equations

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