Contents

Mathematical Notes


Vol. 114, No. 5-6, 2023


Research Articles

On the Existence of Eigenvalues of the Three-Particle Discrete Schrödinger Operator

J. I. Abdullaev, J. K. Boymurodov, and A. M. Khalkhuzhaev p. 645  abstract

On the Maillet–Baker Ruban Continued Fractions in the \(p\)-Adic Field

B. Ammous p. 659  abstract

Weakly Sequentially Recurrent Shifts Operators

M. Amouch, A. Bachir, O. Benchiheb, and S. Mecheri p. 668  abstract

Complete Shrinking General Ricci Flow Soliton Systems

Shahroud Azami p. 675  abstract

On the Existence of Solutions of the Dirichlet Problem for the \(p\)-Laplacian on Riemannian Manifolds

S. M. Bakiev, and A. A. Kon’kov p. 679  abstract

On the Homotopy Types of 2-Connected and 6-Dimensional CW-Complexes

M. Benkhalifa p. 687  abstract

Solution of a Boundary Value Problem for a System of Integro-Differential Equations Arising in a Model of Plasma Physics

S. I. Bezrodnykh, and N. M. Gordeeva p. 704  abstract

On Abelian Groups Having Isomorphic Proper Strongly Invariant Subgroups

A. R. Chekhlov, and P. V. Danchev p. 716  abstract

Isothermic Surfaces Associated with the Cylinder Obtained by Ribaucour Transformations

A. M. V. Corro, and M. L. Ferro p. 728  abstract

A Mixed Problem for a Class of Second-Order Nonlinear Hyperbolic Systems with Dirichlet and Poincaré Boundary Conditions

O. M. Dzhokhadze, S. S. Kharibegashvili, and N. N. Shavlakadze p. 748  abstract

On a Nonlocal Inverse Boundary Value Problem for the Sixth-Order Boussinesq Equation with Nonlocal Time Integral Conditions of the Second Kind

A. S. Farajov p. 763  abstract

On Prime Primitive Roots of \(2^{k}p+1\)

S. Filipovski p. 776  abstract

Line Transversals to Disjoint Disks

E. González-Arreola, and J. Jerónimo-Castro p. 779  abstract

Modular Generalization of the Bourgain–Kontorovich Theorem

I. D. Kan p. 785  abstract

The Space \(H_p\) of Solutions of Degenerate Parabolic Equations

T. V. Kapitsyna p. 797  abstract

Boundedness of Hadamard–Bergman and Variable Hadamard–Bergman Convolution Operators

A. Karapetyants, and E. Morales p. 804  abstract

Sums of Weakly Sequentially Recurrent Operators

Noureddine Karim, and Mohamed Amouch p. 818  abstract

Some Classes of Tetradiagonal Determinants via Certain Polynomial Families

E. Kılıç p. 825  abstract

On Simple Finite-Dimensional Algebras with Infinite Basis of Identities

A. V. Kislitsin p. 845  abstract

On the Blow-Up of the Solution of a Nonlinear System of Equations of a Thermal-Electrical Model

M. O. Korpusov, A. Yu. Perlov, A. V. Timoshenko, and R. S. Shafir p. 850  abstract

Regularity of Distributions of Sobolev Mappings in Abstract Settings

E. D. Kosov p. 862  abstract

On Linearly Convex Hartogs Domains in \(\mathbb C^2\) with a Fractal Structure

V. P. Krivokolesko p. 875  abstract

Boundary Behavior of Large Solutions to the Infinity Laplace Equations on the Half-Line

Ling Mi, and Chuan Chen p. 883  abstract

Pseudocomplete Riemannian Analytic Manifolds

V. A. Popov p. 895  abstract

Generalization of Romanoff’s Theorem

A. Radomskii p. 903  abstract

Embedding of Free Nilpotent (Metabelian) Groups in Partially Commutative Nilpotent (Metabelian) Groups

V. A. Roman’kov p. 914  abstract

Green’s Function Estimates for Elliptic Differential Operators with Singular Coefficients and Absolute Convergence of Fourier Series

V. S. Serov p. 920  abstract

On Perfect Powers in \(k\)-Generalized Pell–Lucas Sequence

Z. Şiar, and R. Keskin p. 936  abstract

On the Existence of an Element with Given Deviations from an Expanding System of Subspaces

Yu. A. Skvortsov p. 949  abstract

Grand Herz–Morrey Spaces with Variable Exponent

M. Sultan, B. Sultan, and A. Hussain p. 957  abstract

On a Class of Elliptic Functional–Differential Equations with Orthotropic Contractions–Expansions

A. L. Tasevich p. 978  abstract

Smoothness of Generalized Eigenfunctions of Differential–Difference Operators on a Finite Interval

R. Yu. Vorotnikov, and A. L. Skubachevskii p. 1002  abstract

Finite Solvable Groups in Which the \(\sigma\)-Quasinormality of Subgroups is a Transitive Relation

Zhigang Wang, Wenbin Guo, I. N. Safonova, and A. N. Skiba p. 1021  abstract

On Lie Algebras Defined by Tangent Directions to Homogeneous Projective Varieties

A. O. Zavadskii p. 1029  abstract

Banach–Mazur Distance from \(\ell_p^3\) to \(\ell_\infty^3\)

Longzhen Zhang, Lingxu Meng, and Senlin Wu p. 1045  abstract

Hardy Factorization in Terms of Multilinear Fractional Operator

Suting Zheng, Dinghuai Wang, and Rongxiang Zhu p. 1052  abstract


Short Communications

Deficiency Indices of Block Jacobi Matrices That Do Not Satisfy the Carleman Condition, and Operators with Point Interactions

V. S. Budyka, M. M. Malamud, and I. L. Pokrovskii p. 1060  abstract

Hurwitz Numbers for the Reflection Groups \(B_n\) and \(D_n\)

R. Fesler p. 1067  abstract

Three-Dimensional Analog of the Zero-Order Hankel Transform

E. M. Novikova p. 1072  abstract

\(\eta\)-Invariant for Parameter-Dependent Boundary Value Problems

A. Yu. Savin, and K. N. Zhuikov p. 1079  abstract


Research Articles

Discrete Generating Functions

S. S. Akhtamova, V. S. Alekseev, and A. P. Lyapin p. 1087  abstract

System of Partial Differential Equations and Analytical Representations of the Weierstrass Sigma Function

M. M. Alekseev, and S. I. Bezrodnykh p. 1094  abstract

Ergodicity Coefficient. New Proofs of Known Properties

Yu. A. Alpin, and N. N. Korneeva p. 1103  abstract

First Asymptotics of Solutions of Degenerate Second-Order Differential Equations

V. P. Arkhipov, and A. V. Glushak p. 1107  abstract

A New Approach to Grand and Small Norms in Discrete Lebesgue Spaces

E. I. Berezhnoi, and A. N. Karapetyants p. 1118  abstract

On Dynamical Systems of Quadratic Stochastic Operators Constructed for Bisexual Populations

Z. S. Boxonov p. 1134  abstract

Explicit Formulas for Differentiation of Hyperelliptic Functions

E. Yu. Bunkova, and V. M. Buchstaber p. 1151  abstract

The g-Drazin Invertibility of a Block Operator Matrix

Huanyin Chen, and Marjan Sheibani p. 1163  abstract

Square-Free Numbers of the Form \(\mathbf{x^2+y^2+z^2+z+1}\) and \(\mathbf{x^2+y^2+z+1}\)

S. I. Dimitrov p. 1169  abstract

Transmutation Operators for Eigenfunctions of Certain Differentiation Operators and Their Fractional Powers

A. V. Dzarakhokhov p. 1184  abstract

Continued Fractions and the Classification Problem for Elliptic Fields Over Quadratic Fields of Constants

G. V. Fedorov p. 1195  abstract

To the Problem of a Point Source in an Inhomogeneous Medium

S. T. Gataullin, and T. M. Gataullin p. 1212  abstract

Higher Differentials of the Bicomplex Corresponding to the Double Cohomology of the Moment Angle Complex

Yang Han p. 1217  abstract

On Uniqueness Properties of Rademacher Chaos Series

G. A. Karagulyan, and V. G. Karagulyan p. 1225  abstract

On the Problems Associated with Sum of Dilates

Ramandeep Kaur, and Sandeep Singh p. 1233  abstract

On the \(p(x)\)-Curl-System Problem with Indefinite Weight and Nonstandard Growth Conditions

K. Kefi, and B. Ge p. 1238  abstract

Integration of the Modified Korteweg–de Vries–Liouville Equation in the Class of Periodic Infinite-Gap Functions

A. B. Khasanov, and U. O. Khudayorov p. 1247  abstract

Basic Predicate Calculus is Sound with Respect to a Modified Version of Strictly Primitive Recursive Realizability

A. Yu. Konovalov p. 1260  abstract

Quasi-Classical Approximation of Monopole Harmonics

Yu. A. Kordyukov, and I. A. Taimanov p. 1277  abstract

Nonlinear Elliptic Equations on Weighted Sobolev Space

Rupali Kumari, and Rasmita Kar p. 1289  abstract

Orthogonal Additivity of a Product of Powers of Linear Operators

Z. A. Kusraeva, and V. A. Tamaeva p. 1297  abstract

Summation Formulas on Harmonic Numbers and Five Central Binomial Coefficients

Chunli Li, and Wenchang Chu p. 1306  abstract

Effective Reducibility for a Class of Linear Almost Periodic Systems

Jia Li p. 1314  abstract

Equivalence Theorem for Absolute Matrix Summability Methods

H. N. Özgen p. 1322  abstract

On the Structure of the Spectrum and the Resolvent Set of a Toeplitz Operator in a Countably Normed Space of Smooth Functions

A. E. Pasenchuk p. 1328  abstract

A Note on Some New Sharp Results on the Zeros of New Area Nevanlinna Type Spaces in the Unit Disk

R. F. Shamoyan, and E. B. Tomashevskaya p. 1337  abstract

Sets with Extremal Product Property and Its Variations

Yu. N. Shteinikov p. 1342  abstract

Pointwise Semicommutative Rings

Sanjiv Subba, Tikaram Subedi, and A. M. Buhphang p. 1350  abstract

Kuhn–Tucker Type Theorems in Cone and Linear Normed Spaces

I. G. Tsar’kov p. 1358  abstract

Linearly Autonomous Symmetries of a Fractional Guéant–Pu Model

Kh. V. Yadrikhinskiy, and V. E. Fedorov p. 1368  abstract

The Multiple Radial Blaschke–Minkowski Homomorphisms

Chang-Jian Zhao p. 1381  abstract

Computing Periodic and Antiperiodic Eigenvalues with a PT-Symmetric Optical Potential

C. Nur p. 1401  abstract

Complex WKB Method (One-Dimensional Linear Problems on the Complex Plane)

A. A. Fedotov p. 1418  abstract


Short Communications

Conformal Fedosov Structures and Spaces

Ch. Almazbekov, N. I. Guseva, and J. Mikeš p. 1480  abstract

An Efficient Algorithm for Decomposing a Vector into Two Vectors with a Small Uniform Norm

B. S. Kashin, and D. G. Romskii p. 1484  abstract

Historic Behavior in Nonautonomous Rock–Paper–Scissors Dynamics

M. Saburov p. 1488  abstract

Reidemeister Classes, Wreath Products, and Solvability

E. V. Troitsky p. 1494  abstract

Hermitian Interpolation Using Window Systems Generated by Uniform Translates of the Gaussian Function

M. L. Zhadanova, E. A. Kiselev, I. Ya. Novikov, and S. N. Ushakov p. 1499  abstract


Obituary

Viktor Pavlovich Maslov (1930–2023)

p. 1503  abstract