Consider the first order linear difference equation with general advanced argument and variable coefficients of the form where p(n) is a sequence of nonnegative real numbers, τ(n) is a sequence of positive integers such that and ▿ denotes the backward difference operator ▿x(n) = x(n) − x(n − 1). Sufficient conditions which guarantee that all solutions oscillate are established. Examples illustrating the results are given.
@article{bwmeta1.element.doi-10_2478_s11533-011-0137-5,
author = {George Chatzarakis and Ioannis Stavroulakis},
title = {Oscillations of difference equations with general advanced argument},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {807-823},
zbl = {1242.39019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0137-5}
}
George Chatzarakis; Ioannis Stavroulakis. Oscillations of difference equations with general advanced argument. Open Mathematics, Tome 10 (2012) pp. 807-823. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0137-5/
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