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

Δ2(xncnxnτ)+f(n,xg1(n),...,xgm(n))=0(nn0N).\Delta^2(x_n – c_nx_{n–\tau}) + f (n, x_{g_1(n)},..., x_{g_m(n)}) = 0 (n ≥ n_0 \in \mathbb 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