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Structure of optimal trajectories in a nonlinear dynamic model with endogenous delay

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  • Natali Hritonenko
  • Yuri Yatsenko

Abstract

An exact solution is constructed to a nonlinear optimization problem in an integral dynamic model with delay. The problem involves the unknown duration of the delay and has important applications to the optimal replacement of capital equipment under technological change.

Suggested Citation

  • Natali Hritonenko & Yuri Yatsenko, 2004. "Structure of optimal trajectories in a nonlinear dynamic model with endogenous delay," Journal of Applied Mathematics, Hindawi, vol. 2004, pages 1-13, January.
    • Handle: RePEc:hin:jnljam:154581
    DOI: 10.1155/S1110757X04311046
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    Cited by:

    1. Natali Hritonenko & Yuri Yatsenko, 2008. "From Linear to Nonlinear Utility in Vintage Capital Models," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 230-248.
    2. Natali Hritonenko & Yuri Yatsenko, 2006. "Optimization of Harvesting Return from Age-Structured Population," Journal of Bioeconomics, Springer, vol. 8(2), pages 167-179, August.
    3. Mellal, Mohamed Arezki, 2020. "Obsolescence – A review of the literature," Technology in Society, Elsevier, vol. 63(C).

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