Browsing by Author "Bolat, Y, Akin, O"

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    Oscillation criteria for higher-order half-linear delay difference equations involving generalized difference operator
    (2016-06-01) Bolat Y., Akin Ö.; Bolat, Y, Akin, O
    In this paper, oscillation criteria are obtained for higher-order half-linear delay difference equations involving generalized difference operator of the form [Equation presented here] where Δb is defined by Δbyn = yn+1 - byn, b ∈ R - {0}, p: N → R+, α, β are the ratio of odd positive integers with β ≤ α; m, n, n0, σ are non-negative integers, q: N → R. The cases of b negative and positive and qn ≥ 0, which has important role for oscillation of this equation, are considered. Also we provide some examples to illustrate our main results.