Contents

Lobachevskii Journal of Mathematics


Vol. 45, No. 10, 2024


Thermodynamics of Viscous Flows on Surfaces

A. Duyunova, V. Lychagin, and S. Tychkov p. 4639  abstract

Connecting KP and Strict KP with Their Discrete Versions

G. F. Helminck, V. A. Poberezhny, and S. V. Polenkova p. 4644  abstract

Equivalence Problem for the Generalized Rapoport–Leas Equation

I. S. Krasil’shchik, and O. I. Morozov p. 4670  abstract

Dynamics and Exact Solutions of the Kadomtsev–Petviashvili Equation

A. G. Kushner, and Sinian Tao p. 4679  abstract

Magnetohydrodynamics on the Two-Dimensional Cylindrical Surface

E. A. Ruabushev p. 4686  abstract

Invariance of the Set of Extremal Solutions to a Conserved Quantity under Symmetries

A. Samokhin p. 4693  abstract

On the Initial Value Problem for Foliations

D. V. Tunitsky p. 4700  abstract

Integral Equation for a Conformal Cylindrical Microstrip Loop Radiator

S. V. Abyshev, D. S. Klyuev, E. E. Krivobokov, A. M. Neshcheret, and Yu. V. Sokolova p. 4705  abstract

Singular Integral Equation for a Conformal Cylindrical Microstrip Dipole Radiator

S. V. Abyshev, D. S. Klyuev, E. E. Krivobokov, S. V. Morozov, A. M. Neshcheret, and Yu. V. Sokolova p. 4713  abstract

A Self-Sufficient Algorithm of the Method of Auxiliary Surface Currents in 3D Problems of Electromagnetic Scattering by Closed Perfectly Conducting Bodies

D. A. Borisov, and S. P. Skobelev p. 4722  abstract

Influence of Surface Quantum Effects on the Near Fields of a Core-Shell Particle Deposited on a Substrate

Yu. A. Eremin, and V. V. Lopushenko p. 4730  abstract

Method for Reconstruction the Parameters of Body Inhomogeneities from the Results of Electromagnetic Field Measurements

A. O. Lapich, and M. Yu. Medvedik p. 4740  abstract

Generalized Pekeris–Airy Waveguide and Its Properties

A. Matskovskiy, G. Zavorokhin, and P. Petrov p. 4748  abstract

On the Diffraction Problem of Acoustic Wave by a Thin Plane Screen

I. E. Pleshchinskaya, and N. B. Pleshchinskii p. 4758  abstract

On Certain Numerical Scheme for Solving the Time-Domain Problem of Diffraction by a Perfectly Conducting Screen Based on Retarded Potentials

A. V. Setukha, and E. A. Setukha p. 4771  abstract

Numerical Modeling of Photonic Crystal Fibers Using Muller Boundary Integral Equations

E. E. Shabardin, A. O. Spiridonov, A. I. Repina, and E. M. Karchevskii p. 4787  abstract

On the Continuous Invertibility of Operator of Electric Field Integral Equation for Non-Absorbing Media

Yu. G. Smirnov p. 4798  abstract

On Application of Collocation Method for Solving Inverse Problem of Diffraction by an Inhomogeneous Solid

Yu. G. Smirnov, and A. A. Tsupak p. 4806  abstract

Solvability of a Nonlocal Boundary Value Problem for One Class of Loaded Partial Differential Equations

G. A. Abdikalikova p. 4815  abstract

The Infiniteness of the Number of Eigenvalues of the Schrödinger Operator of a System of Two Particles on a Lattice

J. I. Abdullaev, A. M. Khalkhuzhaev, and Kh. Sh. Makhmudov p. 4828  abstract

On Fisher–Bhattacharyya Information Function and Lower Bounds under Right Random Censoring

A. A. Abdushukurov, N. S. Nurmukhamedova, and F. A. Abdushukurov p. 4846  abstract

Applying Machine Learning Methods to Forecast Heat Transfer Characteristics in Air-Cooled Single-Row Finned Tube Bundles under Free Convection Conditions

A. G. Abramov, V. A. Baranov, A. V. Filatova, and M. A. Zasimova p. 4858  abstract

On the Spectrum of the Discrete Schrödinger Operator of a Rank-Two Perturbation on \(\mathbb{Z}\)

Sh. U. Alladustov, F. Hiroshima, and Z. I. Muminov p. 4874  abstract

Convergence Rate of the Spectral Difference Method on Regular Triangular Meshes

P. Bakhvalov p. 4888  abstract

HPC Scheduling Method Based on Debug and Background Job Classes Division

A. V. Baranov p. 4899  abstract

An Indirect Variational Formulation of a Third-order Ordinary Differential Equation and Birkhoff’s Equations

S. A. Budochkina, and I. V. Shinkarenko p. 4912  abstract

The Continuity Properties of Some Ratio Gaps of Hilbert Space Operators

Elif Otkun Çevik p. 4925  abstract

Study of Two Three-parameter Non-homogeneous Variants of the Hilbert Integral Inequality

C. Chesneau p. 4931  abstract

Anabelian Arithmetic Geometry—a New Geometry of Forms and Numbers: Inter-universal Teichmüller Theory or ‘‘Beyond Grothendieck’s Vision’’

Benjamin Collas p. 4954  abstract

Rings Whose Non-Invertible Elements Are Strongly Nil-Clean

P. Danchev, O. Hasanzadeh, A. Javan, and A. Moussavi p. 4980  abstract

Improving the Robustness and Applicability of Higher-accuracy EBR Schemes

A. Gorobets p. 5002  abstract

Estimation of Capacity for Channels Connected with Elementary Quantum Random Walks

S. Grishin p. 5014  abstract

A Notion of \(\boldsymbol{\lambda}\)-Fibonacci Statistical Convergence of Sequences of Numbers

Ibrahim Sulaiman Ibrahim, María del Carmen Listán-García, and Rifat Colak p. 5020  abstract

An Algorithm for Solving Boundary Value Problems for Delay Differential Equations with Loadings

N. B. Iskakova, E. A. Bakirova, B. S. Khanzharova, and Zh. M. Kadirbayeva p. 5032  abstract

Blow-up Phenomena for a Pseudo-parabolic Equation on Stratified Groups

K. Jabbarkhanov, and A. Mamanazarov p. 5043  abstract

On Energy Method for Solving the Problem of Stability and Postbuckling Bending of Beams Taking Into Account a Shear and Nonlinearly Elastic Supports

R. A. Kayumov, F. R. Shakirzyanov, A. G. Tamrazyan, and A. V. Alexeitsev p. 5055  abstract

On the Solvability of the Nonlinear Optimization Problem for Point Boundary Control of the Thermal Process

A. K. Kerimbekov, A. K. Kadirimbetova, and A. T. Ermekbaeva p. 5069  abstract

Scheduling Supercomputer Jobs under Existing Power Consumption Constraints

E. A. Kiselev, A. V. Yarovoy, P. N. Telegin, and A. V. Baranov p. 5082  abstract

Quasiconformal Reflection with Respect to the Boundary of an Isosceles Trapezoid

A. Kushaeva, K. Kushaeva, and S. Nasyrov p. 5092  abstract

The Threshold Effects for the Two Particle Discrete Schrödinger Operators on Lattices

S. N. Lakaev, I. N. Bozorov, and Sh. I. Khamidov p. 5098  abstract

A Method for Combining Heterogeneous Workflows in HPC Systems

D. S. Lyakhovets, A. V. Baranov, and P. A. Konstantinov p. 5111  abstract

Quantum Circuit Optimization Via Graph Partitioning by Quantum Annealing

M. A. Maltseva, E. Blanzieri, and A. S. Rumyantsev p. 5126  abstract

On Boundary Condition of Vorticity Jump for the Stokes–Brinkman Model

R. F. Mardanov, S. K. Zaripov, V. F. Sharafutdinov, and I. R. Kayumov p. 5141  abstract

On the Solvability of a Quasilinear Boundary Value Problem for an Impulsive System

S. T. Mynbayeva, A. T. Assanova, and A. K. Tankeyeva p. 5146  abstract

Bio-Inspired Neural Network Architecture of Embodied Intelligence

A. R. Nurutdinov p. 5156  abstract

Surface Movement Method for Linear Programming

N. A. Olkhovsky, and L. B. Sokolinsky p. 5172  abstract

Topology of the Generalized Constrained Three-Vortex Problem at Zero Total Vortical Moment

G. P. Palshin p. 5191  abstract

Dynamics of a Pollinator-Plant-Herbivore Mathematical Model

Faustino Sánchez-Garduño, Víctor Castellanos, and Miguel Angel Dela-Rosa p. 5211  abstract

Local Asymptotic Distribution Theory for Regime Switching Test in Bilinear Models

Nawel Sellami, Soumia Kharfouchi, and Abdelhakim Ridouh p. 5232  abstract

The Riemann Boundary Value Problem for Generalized Analytical Functions with Supersingular Points on the Contour of the Boundary Condition

P. L. Shabalin p. 5244  abstract

Optimal Quadrature Formulas with Derivative for Calculating Integrals of Strongly Oscillating Functions

Kh. M. Shadimetov, F. I. Davlatova, and N. H. Mamatova p. 5254  abstract

A Non-uniform H2N2 Galerkin FEM for the Time Fractional Diffusion-Wave Equation

F. Su, R. L. Du, J. Y. Shen, M. Cai, and C. P. Li p. 5264  abstract

Solvability Cauchy Problem for Time-Space Fractional Diffusion-Wave Equation with Variable Coefficient

H. H. Turdiev p. 5281  abstract

The Inverse Problem of Recovering the Kernel and the Right-Hand Side of a Fifth Order Integro-Differential Equation

D. A. Tursunov, K. G. Kozhobekov, A. O. Mamytov, and E. A. Tursunov p. 5295  abstract

Integration of the Negative Order Nonlinear Schrödinger Equation in the Class of Periodic Functions

G. U. Urazboev, M. M. Khasanov, and A. K. Babadjanova p. 5305  abstract

On Solvability of a Mixed Problem for a Fifth Order Linear Partial Differential Equations with Parameter

T. K. Yuldashev, and M. M. Babayev p. 5313  abstract