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ON THE LOWER BOUND OF THE HYPERSINGULAR OPERATOR IN PERIDYNAMICS PROBLEMS
- Authors: Alimov S.A.1,2, Sheraliev S.N.3
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Affiliations:
- National University of Uzbekistan named after Mirzo Ulugbek
- V.I. Romanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan
- Branch of Lomonosov Moscow State University
- Issue: Vol 61, No 4 (2025)
- Pages: 563-569
- Section: INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS
- URL: https://journal-vniispk.ru/0374-0641/article/view/296241
- DOI: https://doi.org/10.31857/S0374064125040091
- EDN: https://elibrary.ru/HKPRFU
- ID: 296241
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Abstract
For a hypersingular integral operator of the Calderon–Zygmund type, related to peridynamics problems, a lower bound is obtained. Thus, it is established that the previously found upper bound is exact.
About the authors
Sh. A. Alimov
National University of Uzbekistan named after Mirzo Ulugbek; V.I. Romanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan
Email: sh_alimov@mail.ru
Tashkent, Uzbekistan; Tashkent
Sh. N. Sheraliev
Branch of Lomonosov Moscow State University
Email: shuhrat2500@mail.ru
Tashkent, Uzbekistan
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