Abstract
In this paper, we extend to arbitrary time scales some results of [Proc. Amer. Math. Soc., vol. 125, no. 4, pp. 1123–1129, (1997)], where R. C. Brown and D. B. Hinton investigate oscillation of a second-order differential equation. We also provide some examples on nontrivial time scales to illustrate the applicability of the results.
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Karpuz, B., Kaymakçalan, B. & Öcalan, Ö. A generalization of Opial’s inequality and applications to second-order dynamic equations. Differ Equ Dyn Syst 18, 11–18 (2010). https://doi.org/10.1007/s12591-010-0001-2
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DOI: https://doi.org/10.1007/s12591-010-0001-2