This article is cited in 1 paper

Global Attractors of Quasi-Linear Non-Autonomous Difference Equations

D. Cheban^a, C. Mammana^b, E. Michetti<sup>b

a</sup> Department of Mathematics and Informatics, State University of Moldova
^b Department of Economic and Financial Institutions, University of Macerata, Italy

Abstract: The article is devoted to the study of global attractors of quasi-linear non-autonomous difference equations. We obtain the conditions for the existence of a compact global attractor. The obtained results are applied to the study of a special triangular map $T\colon R_+^2\to R_+^2$ describing a growth model with logistic population growth rate.

Keywords and phrases: Triangular maps, non-autonomous dynamical systems with discrete time, skew-product flow, global attractors, neoclassical growth model, endogenous population growth.

MSC: Primary 34C35, 34D20, 34D40, 34D45, 58F10, 58F12, 58F39; Secondary 35B35, 35B40

Received: 03.07.2007

Language: English

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