Convergence to equilibria in recurrence equations

被引：3
|
作者：
Agarwal, RP
Pituk, M
机构：
[1] Natl Univ Singapore, Dept Math, Singapore 117548, Singapore
[2] Univ Veszprem, Dept Math & Comp, H-8201 Veszprem, Hungary
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1998年 / 36卷 / 10-12期
关键词：
recurrence equation; equilibrium point; asymptotic constancy; uniform stability; asymptotic equilibrium;
D O I：
10.1016/S0898-1221(98)80036-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 1998 Elsevier Science Ltd. All rights reserved.
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页码：357 / 368
页数：12
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