Abstract
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.
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© 1997 Springer Science+Business Media Dordrecht
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Agarwal, R.P., Wong, P.J.Y. (1997). Convergence to Equilibria. In: Advanced Topics in Difference Equations. Mathematics and Its Applications, vol 404. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8899-7_8
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DOI: https://doi.org/10.1007/978-94-015-8899-7_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4839-4
Online ISBN: 978-94-015-8899-7
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