NON-AUTONOMOUS DIFFERENCE EQUATIONS: GLOBAL ATTRACTOR IN A BUSINESS-CYCLE MODEL WITH ENDOGENOUS POPULATION GROWTH

摘要

The article is devoted to the study of global attractors of quasi-linear non-autonomous difference equations and their structure. The results obtained are applied to the study of a two-dimensional triangular economic growth model of Solow type with Variable Elasticity of Substitution production function and endogenous population growth rate described by the Beverton-Holt equation.