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A Difference-differential Analogue of the Burgers Equation and Some Models of Economic Development

Author

Listed:
  • Polterovich, Victor
  • Henkin, Gennadi

Abstract

The paper is devoted to investigation of a number of difference-differential equations, among them the following one plays the central role: dFn/dt

Suggested Citation

  • Polterovich, Victor & Henkin, Gennadi, 1998. "A Difference-differential Analogue of the Burgers Equation and Some Models of Economic Development," MPRA Paper 21031, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:21031
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    File URL: https://mpra.ub.uni-muenchen.de/21031/1/MPRA_paper_21031.pdf
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    References listed on IDEAS

    as
    1. Henkin, Gennadi M. & Polterovich, Victor M., 1991. "Schumpeterian dynamics as a non-linear wave theory," Journal of Mathematical Economics, Elsevier, vol. 20(6), pages 551-590.
    2. Iwai, Katsuhito, 1984. "Schumpeterian dynamics : An evolutionary model of innovation and imitation," Journal of Economic Behavior & Organization, Elsevier, vol. 5(2), pages 159-190, June.
    3. Polterovich, Victor & Henkin, Gennadi, 1990. "An Evolutionary Model of Economic Growth," MPRA Paper 20830, University Library of Munich, Germany.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Balatsky, Ye., 2012. "Technological Diffusion and Investment Decision," Journal of the New Economic Association, New Economic Association, vol. 15(3), pages 10-34.
    2. Polterovich, Victor & Tonis, Alexander, 2014. "Absorptive Capacity and Innovative Capability: An Approach to Estimation," MPRA Paper 56855, University Library of Munich, Germany.
    3. Polterovich, Victor & Tonis, Alexander, 2005. "Innovation and Imitation at Various Stages of Development: A Model with Capital," MPRA Paper 20067, University Library of Munich, Germany.

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    More about this item

    Keywords

    difference-differential equations; Burgers equations; non-linear diffusion; long-time asymptotic of Cauchy problem; evolution of industries; economic growth; innovation and imitation processes;
    All these keywords.

    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes

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