Yazarlar |
Prof. Dr. Yaşar BOLAT
Kastamonu Üniversitesi, Türkiye |
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 |