A Survey on the Oscillation of Solutions of First Order Delay Difference Equations
Author
Kikina, L. K.
Stavroulakis, I.P.
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.