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|Title:||Convergence to equilibria in recurrence equations|
|Authors:||Agarwal, R.P. |
|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|
|Appears in Collections:||Staff Publications|
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