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

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  • David Cheban

    (State University of Moldova)

  • Cristiana Mammana

    (University of Macerata)

  • Elisabetta Michetti

    (University of Macerata)

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    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.

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    File URL: http://www2.unimc.it/ricerca/dipartimenti/dipartimento-di-istituzioni-economiche-e/wpaper/wpaper00069/filePaper
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    Bibliographic Info

    Paper provided by Macerata University, Department of Finance and Economic Sciences in its series Working Papers with number 69-2012.

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    Length: 15
    Date of creation: Nov 2012
    Date of revision: Nov 2012
    Handle: RePEc:mcr:wpdief:wpaper00069

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    1. Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
    2. 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.
    3. 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.
    4. 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.
    5. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
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