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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
Issue Date: Jun-2016
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
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

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