Classification and Existence of Non-Oscillatory Solutions of Second-Order Neutral Delay Difference Equations

Yong Zhou; Binggen Zhang

doi:10.4171/zaa/1013

JournalszaaVol. 20, No. 1pp. 223–234

Classification and Existence of Non-Oscillatory Solutions of Second-Order Neutral Delay Difference Equations

Yong Zhou
Xiangtan University, Xiangtan, Hunan, China
Binggen Zhang
Ocean University of Qingdao, China

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Abstract

In this paper, we give a classification of non-oscillatory solutions of a second-order neutral delay difference equation of the form

Δ^{2} (x_{n} - c_{n} x_{n - τ}) + f (n, x_{g_{1} (n)}, ..., x_{g_{m} (n)}) = 0 (n \geq n_{0} \in N) .

Some existence results for each kind of non-oscillatory solutions are also established.

Cite this article

Yong Zhou, Binggen Zhang, Classification and Existence of Non-Oscillatory Solutions of Second-Order Neutral Delay Difference Equations. Z. Anal. Anwend. 20 (2001), no. 1, pp. 223–234

DOI 10.4171/ZAA/1013