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Content available remote Global asymptotic stability of a system of two nonlinear difference equations
EN
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).
2
Content available remote On the dynamics of the difference equation xn+1 = ...[wzór]
EN
This paper studies the global behavior of the difference equation xn+1 = ...[wzór], n = 0, 1, 2, ... with non-negative parameters and non-negative initial conditions where k is an odd number.
3
Content available remote On the difference equation xn+1 = α + ...[wzór]
EN
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.
4
Content available remote Periodic solutions of two-species difusion models with continuous time delays
EN
Two-species prey-predator diffusion models with periodic coefficients and continuous time delays are investigated. We derive sufficient conditions that guarantee the existence of positive periodic solutions which are globally asymptotically stable.
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