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Erschienen in:
1997 | OriginalPaper | Buchkapitel
Convergence to Equilibria
verfasst von : Ravi P. Agarwal, Patricia J. Y. Wong
Erschienen in: Advanced Topics in Difference Equations
Verlag: Springer Netherlands
Enthalten in: Professional Book Archive
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Here, we shall consider linear as well as nonlinear perturbations of first order difference systems with constant coefficients having infinitely many equilibria. We shall provide sufficient conditions for the asymptotic constancy of the solutions of the perturbed systems. Finally, as a consequence of our main result, we shall obtain sufficient conditions for systems of higher order difference equations to have asymptotic equilibrium.