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Zbl 0960.39503
Zhang, Zhengqiu; Yu, Jianshe
Asymptotic behavior of solutions of neutral difference equations with positive and negative coefficients.
(English)
[J] Math. Sci. Res. Hot-Line 2, No.6, 1-12 (1998). ISSN 1087-9919

Summary: In this paper we consider the neutral delay difference equations with positive and negative coefficients of the form $\Delta(x(n)+\lambda c(n)x(n-m))+p(n)x(n-k)-q(n)x(n-l)=0, n\geq n_0$, where $\lambda\in\{-1,1\},\Delta x(n)=x(n+1)-x(n),m,k,l$, and $n_0$ are nonnegative integers, $\{c(n)\},\{p(n)\}$ and $\{q(n)\}$ are positive number sequences. We establish some sufficient conditions for every solution to tend to zero as $n$ approaches infinity.
MSC 2000:
*39A10 Difference equations

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