On the Lower Bound of the Hypersingular Operatorin Peridynamics Problems

A lower bound is obtained for a hypersingular integral operator of the Calderón–Zygmund type, related to peridynamics problems. It is established that the previously found upper bound is exact.

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Publication Details

Journal
Differential Equations
Published
2025-04-01
DOI
https://doi.org/10.1134/s001226612504010x
Primary Topic
Numerical methods in engineering
Type
article
Field-Weighted Citation Impact
0.00
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article

On the Lower Bound of the Hypersingular Operatorin Peridynamics Problems

Sh. N. Sheraliev, Sh. A. Alimov
Differential Equations
Numerical methods in engineering
article

On the Lower Bound of the Hypersingular Operatorin Peridynamics Problems

Sh. N. Sheraliev, Sh. A. Alimov
article en

Abstract

A lower bound is obtained for a hypersingular integral operator of the Calderón–Zygmund type, related to peridynamics problems. It is established that the previously found upper bound is exact.

Differential EquationsVol. 61(4)
Academy of Sciences Republic of Uzbekistan (UZ), National University of Uzbekistan (UZ), Tashkent State University of Economics (UZ)
Openalex Percentile: Top 75%
Numerical methods in engineering
DOISourceOpenAlex
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On the Lower Bound of the Hypersingular Operatorin Peridynamics Problems — Sh. N. Sheraliev, Sh. A. Alimov · Differential Equations (2025) | TGRS Research Map | TGRS