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Oscillation criteria for higher-order half-linear delay difference equations involving generalized difference operator  
Yazarlar
Yaşar Bolat
Kastamonu University, Turkey
Ömer Akin
TOBB University of Economics and Technology, Turkey
Özet
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.
Anahtar Kelimeler
difference equations | generalized difference | half-linear difference equation | oscillation
Makale Türü Özgün Makale
Makale Alt Türü SCOPUS dergilerinde yayımlanan tam makale
Dergi Adı Mathematica Slovaca
Dergi ISSN 0139-9918
Makale Dili İngilizce
Basım Tarihi 06-2016
Cilt No 66
Sayı 3
Sayfalar 677 / 686
Doi Numarası 10.1515/ms-2015-0169