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Convergence of the solutions for a neutral difference equation with negative coefficients

In: Tatra Mountains Mathematical Publications, vol. 54, no. 1
George E. Chatzarakis - George N. Miliaras
Detaily:
Rok, strany: 2013, 31 - 43
Kľúčové slová:
neutral difference equations, retarded argument, deviated argument, oscillatory solutions, nonoscillatory solutions, bounded solutions, unbounded solutions
O článku:
In this paper, we investigate the asymptotic behavior of the solutions of a neutral type difference equation of the form \begin{equation*} Δ [ x(n)+ ∑j=1wcjx(τ j(n))] + (-p(n)) x (σ (n))=0,    n≥ 0, \end{equation*} where $τ j(n)$, $j=1,…,w$ are general retarded arguments, $σ(n)$ is a general deviated argument, $cj\in\mathbb{R}$, $j=1,…,w$, $( p(n)) n≥ 0$ is a sequence of positive real numbers such that $p(n)≥ p$, $p\in\mathbb{R}+$, and $Δ $ denotes the forward difference operator $Δ x(n)=x(n+1)-x(n)$.
Ako citovať:
ISO 690:
Chatzarakis, G., Miliaras, G. 2013. Convergence of the solutions for a neutral difference equation with negative coefficients. In Tatra Mountains Mathematical Publications, vol. 54, no.1, pp. 31-43. 1210-3195.

APA:
Chatzarakis, G., Miliaras, G. (2013). Convergence of the solutions for a neutral difference equation with negative coefficients. Tatra Mountains Mathematical Publications, 54(1), 31-43. 1210-3195.