A Survey on the Oscillation of Solutions of First Order Delay Difference Equations

L. K. Kikina; I.P. Stavroulakis

A Survey on the Oscillation of Solutions of First Order Delay Difference Equations

Authors

L. K. Kikina Department of Mathematics, University of Gjirokastra Gjirokaster, Albania.
I.P. Stavroulakis Department of Mathematics, University of Ioannina 451 10 Ioannina, Greece.

Keywords:

Oscillation, nonoscillation, delay difference equation

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

x_n₊₁ âˆ’ x_n + p_nx_nâˆ’k = 0, n= 0, 1, 2, ...,

where {p_n} 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.

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Published

2005-08-01

How to Cite

[1]

L. K. Kikina and I. Stavroulakis, “A Survey on the Oscillation of Solutions of First Order Delay Difference Equations”, CUBO, vol. 7, no. 2, pp. 223–236, Aug. 2005.