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Title: Convergence to equilibria in recurrence equations
Authors: Agarwal, R.P. 
Pituk, M.
Keywords: Asymptotic constancy
Asymptotic equilibrium
Equilibrium point
Recurrence equation
Uniform stability
Issue Date: Nov-1998
Source: Agarwal, R.P.,Pituk, M. (1998-11). Convergence to equilibria in recurrence equations. Computers and Mathematics with Applications 36 (10-12) : 357-368. ScholarBank@NUS Repository.
Abstract: In this paper, we deal with linear and nonlinear perturbations of first-order recurrence systems with constant coefficients having infinitely many equilibria. We give sufficient conditions for the asymptotic constancy of the solutions of the perturbed equation. As a consequence of our main theorem, we obtain sufficient conditions for systems of higher-order difference equations to have asymptotic equilibrium. © 1998 Elsevier Science Ltd. All rights reserved.
Source Title: Computers and Mathematics with Applications
ISSN: 08981221
Appears in Collections:Staff Publications

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