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Nonstandard tools of nonsmooth analysis

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Abstract

This is an overview of the basic tools of nonsmooth analysis which are grounded on nonstandard models of set theory. By way of illustration we give a criterion for an infinitesimally optimal path of a general discrete dynamic system.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    S. S. Kutateladze

Authors
  1. S. S. Kutateladze
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Correspondence to S. S. Kutateladze.

Additional information

On the Occasion of the Centenary of Leonid Kantorovich

The text was submitted by the author in English.

This article bases on the talk at the conference “Constructive Nonsmooth Analysis and Related Topics” in the Euler Mathematical Institute, St. Petersburg, on June 18, 2012.

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Kutateladze, S.S. Nonstandard tools of nonsmooth analysis. J. Appl. Ind. Math. 6, 332–338 (2012). https://doi.org/10.1134/S1990478912030076

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  • DOI: https://doi.org/10.1134/S1990478912030076

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