Asymptotic behaviour of nonlinear difference equations

被引：5

作者：

Gyori, Istvan ^{[1
]}

Hartung, Ferenc ^{[1
]}

机构：

[1] Univ Pannonia, Dept Math, H-8201 Veszprem, Hungary

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2012年 / 18卷 / 09期

关键词：

Volterra difference equation; exponential growth/decay; asymptotic behaviour; discrete population model; GLOBAL ATTRACTIVITY; STABILITY; PERSISTENCE; MODEL;

D O I：

10.1080/10236198.2011.574619

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the growth/decay rate of solutions of a class of nonlinear Volterra difference equations. Our results can be applied for the case when the characteristic equation of an associated linear difference equation has complex dominant eigenvalue with higher than one multiplicity. Illustrative examples are given for describing the asymptotic behaviour of solutions in a class of linear difference equations and in several discrete nonlinear population models.

引用

页码：1485 / 1509

页数：25

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