We establish conditions required for the oscillation behavior of solutions of linear functional-difference equations and discrete linear difference equations of the second order in the case where the corresponding solutions of their differential analogs are oscillating on a segment.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 2, pp. 226–235, February, 2013.
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Karpenko, O.V., Kravets’, V.I. & Stanzhyts’kyi, O.M. Oscillation of solutions of the second-order linear functional-difference equations. Ukr Math J 65, 249–259 (2013). https://doi.org/10.1007/s11253-013-0775-9
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DOI: https://doi.org/10.1007/s11253-013-0775-9