In this paper, a survey of the most interesting results on the oscillation of all solutions of the first order delay difference equation of the form
xn+1 − xn + pnxn−k = 0, n= 0, 1, 2, ...,
where {pn} is a sequence of nonnegative real numbers and k is a positive integer is presented, especially in the case when neither of the well-known oscillation conditions
and
is satisfied.
@article{1550,
title = {A Survey on the Oscillation of Solutions of First Order Delay Difference Equations},
journal = {CUBO, A Mathematical Journal},
volume = {7},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/1550}
}
Kikina, L. K.; Stavroulakis, I.P. A Survey on the Oscillation of Solutions of First Order Delay Difference Equations. CUBO, A Mathematical Journal, Tome 7 (2005) 14 p. http://gdmltest.u-ga.fr/item/1550/