Contents

Mathematical Notes

Vol. 116, No. 1-2, 2024

Research Articles

On the Existence of a Positive Solution of a Boundary Value Problem for a Nonlinear Second-Order Functional-Differential Equation with Integral Boundary Conditions

G. E. Abduragimov p. 3  abstract

On Consecutive Factors of the Lower Central Series of Right-Angled Coxeter Groups

Ya. A. Veryovkin, and T. A. Rahmatullaev p. 10  abstract

Jackson-Type Theorem on Approximation by Algebraic Polynomials in the Uniform Metric with Laguerre Weight

R. M. Gadzhimirzaev p. 30  abstract

Kirby Diagram of Polar Flows on Four-Dimensional Manifolds

E. Ya. Gurevich, and I. A. Saraev p. 40  abstract

On Extremal Functions in Inequalities for Entire Functions

V. P. Zastavnyi p. 58  abstract

\(\pmb n\)-Valued Coset Groups and Dynamics

M. I. Kornev p. 66  abstract

On the Hadamard and Vandermonde Determinants and the Bernoulli–Euler–Lagrange–Aitken Method for Calculating the Roots of Polynomials

A. V. Lebedev, Yu. V. Trubnikov, and M. M. Chernyavsky p. 77  abstract

Semi-Regular Solutions of Integral Equations with Discontinuous Nonlinearities

V. N. Pavlenko, and D. K. Potapov p. 93  abstract

Approximation of Riemann–Liouville Type Integrals on an Interval by Methods Based on Fourier–Chebyshev Sums

P. G. Potseiko, and E. A. Rovba p. 104  abstract

On a Statement of the Boundary Value Problem for a Generalized Cauchy–Riemann Equation with Nonisolated Singularities in a Lower-Order Coefficient

A. V. Rasulov, and Yu. S. Fedorov p. 119  abstract

Short Communications

On the Existence of Weak Solutions of the Kelvin–Voigt Model

A. V. Zvyagin p. 130  abstract

Research Articles

Index of Elliptic Operators Associated with Discrete Groups and Fixed Points

H. H. Abbas, and A. Yu. Savin p. 139  abstract

Convergence Rate of Fourier–Legendre Series of Functions of Generalized Bounded Variation

R. K. Bera, and B. L. Ghodadra p. 168  abstract

On Operator Estimates for Elliptic Operators with Mixed Boundary Conditions in Two-Dimensional Domains with Fast Oscillating Boundary

D. I. Borisov, and R. R. Suleimanov p. 182  abstract

Saturation in Kneser Graphs

S. V. Vakhrushev, M. E. Zhukovskii, and A. Yu. Skorkin p. 200  abstract

Weakly Dissipative Linear Dynamical Systems and a Quadratic Keldysh Pencil

V. I. Voytitsky p. 209  abstract

A Refinement of the Two-Radius Theorem on the Bessel–Kingman Hypergroup

Vit. V. Volchkov, and G. V. Krasnoschekikh p. 223  abstract

On Some Questions around Berest’s Conjecture

J. Guo, and A. Zheglov p. 238  abstract

Blaschke Products and Smale’s Conjecture on Complex Polynomials

V. N. Dubinin p. 252  abstract

On Embeddings in the Class of Partially Commutative Nilpotent Groups

A. L. Evtyagin, and V. A. Roman’kov p. 258  abstract

Generalized One-Dimensional Dunkl Transform in Direct Problems of Approximation Theory

V. I. Ivanov p. 265  abstract

Theorems on the Representability of Spaces as Unions of at Most Countably Many Homogeneous Subspaces

S. M. Komov p. 279  abstract

Asymptotic Representations of Solutions of \(n\times n\) Systems of Ordinary Differential Equations with a Large Parameter

A. P. Kosarev, and A. A. Shkalikov p. 283  abstract

New Algorithm for Constructing Asymptotic Solutions of Singularly Perturbed Optimal Control Problems with Intersecting Trajectories of the Degenerate State Equation

G. A. Kurina, and N. T. Hoai p. 303  abstract

On the Derivatives of Eta Quotients of Level Eighteen

P. Nagendra, E. N. Bhuvan, and P. Divyananda p. 322  abstract

Estimate of the Convergence Rate in the Riemann Localization Principle for Trigonometric Fourier Series of Continuous Functions

T. Yu. Semenova p. 328  abstract

Finite Groups in Which Maximal Subgroups of Sylow \(p\)-Subgroups are \(\mathcal{M}\)-Permutable

Z. Fan, Z. Gao, J. Zhao, and B. Gao p. 342  abstract

Boundedness of Solutions of the Ginzburg–Landau System Involving a Subelliptic Operator

Y. T. N. Ha, A. T. Duong, and N. V. Biet p. 350  abstract

A Class of General Multi-Window Gabor Frames and Its (Weak) Gabor Dual Frames

Y. Zhang, and Y.-P. Wang p. 356  abstract

Isometry Groups of Formal Languages for Generalized Levenshtein Distances

V. O. Yankovskii p. 373  abstract

Short Communications

Extremal Positivity Problem for Integrals of Sine Series with Monotone Coefficients

E. D. Alferova, and A. Yu. Popov p. 382  abstract

Any Chebyshev Curve without Self-Intersections Is Monotone

P. A. Borodin, and E. A. Savinova p. 387  abstract

Lefschetz Formula for Nonlocal Elliptic Problems Associated with a Bundle

N. R. Orlova p. 390  abstract