Oscillation criteria for higher-order half-linear delay difference equations involving generalized difference operator

Bolat Y., Akin Ö.Bolat, Y, Akin, O2023-05-092023-05-092016-06-012016.01.010139-9918https://hdl.handle.net/20.500.12597/13680In 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.falsedifference equations | generalized difference | half-linear difference equation | oscillationOscillation criteria for higher-order half-linear delay difference equations involving generalized difference operatorOSCILLATION CRITERIA FOR HIGHER-ORDER HALF-LINEAR DELAY DIFFERENCE EQUATIONS INVOLVING GENERALIZED DIFFERENCE OPERATORArticle10.1515/ms-2015-016910.1515/ms-2015-01692-s2.0-84984986868WOS:000387221500016677686661337-2211