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

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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

Oscillation , nonoscillation , delay difference equation
  • L. K. Kikina Department of Mathematics, University of Gjirokastra Gjirokaster, Albania.
  • I.P. Stavroulakis Department of Mathematics, University of Ioannina 451 10 Ioannina, Greece.
  • Pages: 223 - 236
  • Date Published: 2005-08-01
  • Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal

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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.

Issue

Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal

Section

Articles