Contents

Mathematical Notes


Vol. 118, No. 1-2, 2025


Research Articles

Rate of Convergence of Fourier Sums of Continuous Functions with Fractal Graphs

N. Yu. Antonov and M. L. Gridnev p. 3  abstract

The Polar Decomposition Theorem for Closed Multivalued Operators

M. A. Aouichaoui p. 18  abstract

Davenport Constant for Finite Abelian Groups with Higher Rank

A. Biswas and E. Mazumdar p. 23  abstract

Generalized Absolute Convergence of Fourier–Jacobi Series

S. S. Volosivets p. 35  abstract

Stability of the Maximal Term of a Dirichlet Series of a Given Growth on a Discrete Set

G. A. Gaisina p. 48  abstract

On a Class of Completely Positive Mappings

A. K. Gutnova p. 60  abstract

On \(\beta\)-Absolute Convergence of Fourier Series with Small Gaps

K. N. Darji p. 75  abstract

The Minimum Number of Cliques in Induced Subgraphs of Johnson Graphs

N. A. Dubinin, E. A. Neustroeva, A. M. Raigorodskii, and Ya. K. Shubin p. 80  abstract

On Hereditarily Undecidable Fragments of Basic Elementary Theories

V. E. Karpov and S. O. Speranski p. 95  abstract

On the Analytical Representation of Two Classes of Homogeneous Polynomials

Z. A. Kusraeva and V. A. Tamaeva p. 108  abstract

Theoretical Analysis of Weighted \(\ell_{1}\) and \(\ell_{1-2}\)-Minimization with Multiple Weighting Sets

H. Li and L. Guo p. 119  abstract

Construction of Solutions to Analogs of Nonstationary Schrödinger Equations Corresponding to a Pair of Isomonodromic Hamiltonian Systems \(H^{5/2+3/2}\) and \(H^{5/2+2}\) of the Hierarchy of Degenerations of the Garnier System

V. A. Pavlenko p. 138  abstract

Ideal of the Variety of Flexes of Plane Cubics

V. L. Popov p. 151  abstract

On Two-Distance \((0,1)\)-Counterexamples to Borsuk’s Conjecture in \(l_p\) Metrics

A. M. Raigorodskii and K. A. Smolenskii p. 158  abstract

Recurrence of Integral Zeros for Ergodic Flows

V. V. Ryzhikov p. 165  abstract

A New \(q\)-Congruence on Double Sums

H. Song and C. Wang p. 173  abstract

On New Orthogonally Generalized Additive-Quadratic Functional Equations in the Sense of Rätz and Their Stability

L. Aiemsomboon, A. Thanyacharoen, and W. Sintunavarat p. 180  abstract


Short Communications

On the Compactness of Integral Operators with Homogeneous Kernels and Variable Coefficients on the Heisenberg Group

O. G. Avsyankin p. 193  abstract

Integral Moduli of Continuity of Sums of Cosine Series with Monotonicity Order of Coefficients between 1 and 2

M. I. Dyachenko and A. P. Solodov p. 199  abstract

Lipschitz Graphs on Heisenberg groups and Related Problems

M. B. Karmanova p. 205  abstract


Research Articles

Blow-up of Solutions of the Cauchy Problem for the Doubly Nonlinear Equation of a Thermoelectric Model

M. V. Avtushenko, M. O. Korpusov, and A. K. Matveeva p. 215  abstract

On Existence of Periodic Points in a System of Intervals

Y. Wang p. 222  abstract

Subgroup Embeddings in a Finite Group: between Subnormality and \(\mathrm{K}\)-\(\mathbb{P}\)-Subnormality

A. F. Vasil’ev and T. I. Vasil’eva p. 233  abstract

Commutative Multiplicatively Idempotent Semirings with the Identity \(x+2xy=x\)

E. M. Vechtomov p. 246  abstract

Asymptotic Properties of Mean Periodic Functions with Respect to the Bessel Convolution

Vit. V. Volchkov and G. V. Krasnoschekikh p. 259  abstract

Criteria for Periodic Wavelet Frames

A. A. Gorshanova and E. A. Lebedeva p. 272  abstract

On Composite Numbers with \((n+1)\mid \sigma(n)\)

K. Gu p. 289  abstract

Simulation of Delay Using a System of Ordinary Differential Equations

I. S. Kashchenko and S. A. Kashchenko p. 294  abstract

Eigenvalue Distribution in Gaps of the Essential Spectrum of the Bochner–Schrödinger Operator

Y. A. Kordyukov p. 309  abstract

Periodic Contrast Structures in the Reaction–Diffusion–Advection Equation with a KPZ Nonlinearity

E. I. Nikulin and A. O. Orlov p. 321  abstract

A Constructive Predicate Calculus

V. E. Plisko p. 338  abstract

Asymptotics of the Spectra of the Dirichlet and Dirichlet–Neumann Problems for the Sturm–Liouville Equation with an Integral Perturbation

A. A. Shkalikov and V. N. Sivkin p. 356  abstract

Adiabatic Evolution Generated by a Schrödinger Operator with a Continuous Spectrum

A. A. Fedotov and V. A. Sergeev p. 375  abstract

The \(A_{\alpha}\)-Spectral Radius and Spanning Trees of Graphs

J. Ha, F. Wen, and Y. Chen p. 391  abstract


Short Communications

Qualitative Properties of the Obstacle Problem Solution for the Stieltjes String

M. B. Zvereva p. 404  abstract

The Jackson–Stechkin Inequality in the Space \(C\) with Nonclassic Modulus of Continuity

S. E. Nohrin and V. T. Shevaldin p. 409  abstract

Sectoriality and Compactness of the Resolvent of a Nonself-Adjoint Sturm–Liouville Operator with a Singular Distribution Potential

S. N. Tumanov p. 415  abstract

On Nonsingular Structural Stable Chaotic 3-Flows of Attractor-Repeller Type

B. Yu, V. S. Medvedev, and E. V. Zhuzhoma p. 421  abstract