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On Hypersingular Operators Associated with Peridynamics

  • INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS
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Abstract

For a hypersingular integral operator of the Calderón–Zygmund type associated with problems of peridynamics, we find a Hilbert space that is taken by this operator to the space of square integrable periodic functions.

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Authors and Affiliations

  1. National University of Uzbekistan, Tashkent, 100174, Uzbekistan

    Sh. A. Alimov

  2. Tashkent Branch, Lomonosov Moscow State University, Tashkent, 100060, Uzbekistan

    Sh. N. Sheraliev

Authors
  1. Sh. A. Alimov
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  2. Sh. N. Sheraliev
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Corresponding authors

Correspondence to Sh. A. Alimov or Sh. N. Sheraliev.

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Translated by V. Potapchouck

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Alimov, S.A., Sheraliev, S.N. On Hypersingular Operators Associated with Peridynamics. Diff Equat 59, 914–918 (2023). https://doi.org/10.1134/S0012266123070054

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  • DOI: https://doi.org/10.1134/S0012266123070054

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