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https://scholarbank.nus.edu.sg/handle/10635/103074
| 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 | Citation: | 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 | URI: | http://scholarbank.nus.edu.sg/handle/10635/103074 | ISSN: | 08981221 |
| Appears in Collections: | Staff Publications |
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