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Global asymptotic stability of a system of two nonlinear difference equations

Yalcinkaya I., Çinar C.

Fasciculi Mathematici

2010

Nr 43

171-180

In this paper a sufficient condition is obtained for the global asmptotic stability of the following system of difference equations ...[wzór] where the parameter aε(0,∞) and the initial values (zk, tk)ε(0, ∞) (for k = -1, 0).

On the difference equation xn+1 = α + ...[wzór]

Yalçinkaya ĺ.

Fasciculi Mathematici

2009

Nr 42

133-139

In this paper, we investigate the global behavior of the difference equation of order three xn+1 = α + ...[wzór], n = 0, 1,… where the parameters α, k ∈ (0, ∞) and the initial values x-2, x-1 and x0 are arbitrary positive real numbers.