Asymptotic behavior of nonlinear difference equations with delays. (English) Zbl 1002.39017

The author considers the asymptotic behavior of nonlinear difference equations with delays. Sufficient conditions for an attracting set and a basin of attraction of the equations are obtained. Examples are given to show the applicability of the proposed approach.


39A11 Stability of difference equations (MSC2000)
39A12 Discrete version of topics in analysis
37C70 Attractors and repellers of smooth dynamical systems and their topological structure
39A05 General theory of difference equations
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