A Survey on the Oscillation of Solutions of First Order Delay Difference Equations
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L. K. Kikina
ipstav@cc.uoi.gr
-
I.P. Stavroulakis
ipstav@cc.uoi.gr
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Abstract
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.
Keywords
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