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Non-Autonomous Difference Equations: Global Attractor in a Business-Cycle Model with Endogenous Population Growth

Author

Listed:
  • David Cheban

    (State University of Moldova)

  • Cristiana Mammana

    (University of Macerata)

  • Elisabetta Michetti

    (University of Macerata)

Abstract

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

Suggested Citation

  • David Cheban & Cristiana Mammana & Elisabetta Michetti, 2012. "Non-Autonomous Difference Equations: Global Attractor in a Business-Cycle Model with Endogenous Population Growth," Working Papers 69-2012, Macerata University, Department of Finance and Economic Sciences, revised Sep 2015.
    • Handle: RePEc:mcr:wpdief:wpaper00069
    as

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    References listed on IDEAS

    as
    1. Claude Diebolt & Catherine Kyrtsou, 2005. "New Trends in Macroeconomics," Post-Print hal-00279607, HAL.
    2. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    3. Brianzoni Serena & Mammana Cristiana & Michetti Elisabetta, 2007. "Complex Dynamics in the Neoclassical Growth Model with Differential Savings and Non-Constant Labor Force Growth," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 11(3), pages 1-19, September.
    4. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
    5. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
    6. David Cheban & Cristiana Mammana & Elisabetta Michetti, 2008. "Global Attractors of Non-autonomous Difference Equations," Working Papers 47-2008, Macerata University, Department of Finance and Economic Sciences, revised Oct 2008.
    7. Serena Brianzoni, & Cristiana Mammana, & Elisabetta Michetti,, 2006. "Global attractor in Solow growth model with differential savings and endogenic labor force growth," Working Papers 35-2006, Macerata University, Department of Finance and Economic Sciences, revised Oct 2008.
    8. Claude Diebolt & Catherine Kyrtsou (ed.), 2005. "New Trends in Macroeconomics," Springer Books, Springer, number 978-3-540-28556-4, September.
    9. Bohm, Volker & Kaas, Leo, 2000. "Differential savings, factor shares, and endogenous growth cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 965-980, June.
    10. Giannis Karagiannis & Theodore Palivos & Chris Papageorgiou, 2005. "Variable Elasticity of Substitution and Economic Growth: Theory and Evidence," Springer Books, in: Claude Diebolt & Catherine Kyrtsou (ed.), New Trends in Macroeconomics, pages 21-37, Springer.
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