Contents

Russian Mathematics

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Vol. 66, No. 11, 2022

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On the Integration of the Periodic Camassa–Holm Equation with an Integral-Type Source

B. A. Babajanov and D. A. Atajonov p. 1  abstract

On Lockett’s Conjecture for σ-Local Fitting Classes

N. T. Vorob’ev and E. D. Volkova p. 12  abstract

Polyelement Functional Equations Related to the Carleman Kernel and Their Applications

F. N. Garif ’yanov p. 18  abstract

A Finite-Difference Scheme on a Graded Mesh for Solving Cauchy Problems with a Fractional Caputo Derivative in a Banach Space

M. M. Kokurin and S. I. Piskarev p. 33  abstract

The Geometry of One-Dimensional and Spatial Hardy Type Inequalities

R. G. Nasibullin p. 46  abstract

On the Uniform Convergence of the Expansion of a Function in the Fourier–Bessel Range

K. B. Sabitov p. 79  abstract

On Some Properties of Fuzzy Expectations and Nonlinear Fuzzy Expectations of Fuzzy-Random Variables

V. L. Khatskevich p. 86  abstract

On the Best Polynomial Approximation in Hardy Space

M. Sh. Shabozov and Z. Sh. Malakbozov p. 97  abstract

Nonuniformity of Downward Density in n-Computably Enumerable Turing Degrees

A. I. Talipova and M. M. Yamaleev p. 110  abstract

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