Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1726
Title: Oscillation Criteria for Higher-Order Nonlinear Delay Dynamic Equations on Time Scales
Authors: Bolat, Yaşar
Akın, Ömer
Keywords: oscillation
difference equaions
generalized difference
half-linear difference equation
Publisher: De Gruyter Open Ltd
Source: Bolat, Y., & Akin, Ö. (2016). Oscillation criteria for higher-order nonlinear delay dynamic equations on time scales. Mathematica Slovaca, 66(3), 677-686.
Abstract: In this paper, oscillation criteria are obtained for higher-order half-linear delay difference equations involving generalized difference operator of the form Delta(b) (p(n) (Delta(m-1)(b) x(n))(alpha)) + q(n)x(n-sigma)(beta) = 0, n >= n(0), where Delta(b) is defined by Delta(b)y(n) = y(n+1) - by(n), b is an element of R - {0}, p: N -> R+, alpha, beta are the ratio of odd positive integers with beta <= alpha; m, n, n(0), sigma are non-negative integers, q : N -> R. The cases of b negative and positive and q(n) >= 0, which has important role for oscillation of this equation, are considered. Also we provide some examples to illustrate our main results. (C) 2016 Mathematical Institute Slovak Academy of Sciences
URI: https://doi.org/10.1515/ms-2015-0169
https://hdl.handle.net/20.500.11851/1726
ISSN: 0139-9918
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Show full item record



CORE Recommender

WEB OF SCIENCETM
Citations

1
checked on Nov 9, 2024

Page view(s)

118
checked on Dec 23, 2024

Google ScholarTM

Check




Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.