Contents

Lobachevskii Journal of Mathematics


Vol. 45, No. 11, 2024


DG-GMsFEM for Dual Continuum Transport Problem in Perforated Domains

V. N. Alekseev, and W. Xie p. 5329  abstract

Generalized Multiscale Finite Element Method for Multicontinuum Coupled Flow and Transport Model

D. A. Ammosov, J. Huang, W. T. Leung, and B. Shan p. 5343  abstract

Numerical Identification of a Nonstationary Multiplier in the Right-Hand Side of Anomalous Diffusion Equation

D. K. Ivanov, V. I. Vasil’ev, and Y. Yang p. 5357  abstract

Generalized Multiscale Discontinuous Galerkin Method (GMsDGM) for the Elastic Wave Problem in Multicontinuum Media

U. S. Kalachikova, and D. A. Ammosov p. 5369  abstract

Optimal Control of the Obstacle Inclination Angle in the Contact Problem for a Kirchhoff–Love Plate

N. P. Lazarev, G. M. Semenova, and E. D. Fedotov p. 5383  abstract

Online Meshfree Generalized Multiscale Finite Element Method for Flows in Fractured Media

D. Y. Nikiforov, S. P. Stepanov, and N. P. Lazarev p. 5391  abstract

Numerical Solution of the Equilibrium Problem for a Two-dimensional Elastic Body with a Delaminated Rigid Inclusion

T. S. Popova p. 5402  abstract

Temperature Data Approximation Using Rossby Waves

V. I. Sivtseva, and V. V. Grigoriev p. 5414  abstract

Multiscale Modeling with Online Correction for Darcy–Forchheimer Flow

D. A. Spiridonov, and J. Huang p. 5424  abstract

Machine Learning for Online Multiscale Model Reduction for Poroelasticity Problem in Heterogeneous Media

A. Tyrylgin, H. Bai, and Y. Yang p. 5437  abstract

On a Theorem of S.L. Sobolev Generated by Anisotropic Norms of Partial Integral Operators

I. V. Barysheva p. 5452  abstract

Gording’s Inequality for Singular J-Pseudodifferential Kipriyanov Operators

Yu. N. Bulatov p. 5458  abstract

Initial-boundary Problem for the Piezoconductivity Equation Describing Filtration in a Layered Oil Reservoir

A. I. Filippov, and K. B. Sabitov p. 5467  abstract

On the Uniqueness of Solvability of the Volterra Partial Integral Equation with Weak Singularity

E. V. Frolova p. 5480  abstract

On Elliptic Pseudo-differential Equations with an Integral Condition in a Special Multidimensional Cone

Hadish Fessehatsion Gebreslasie, and Vladimir B. Vasilyev p. 5487  abstract

On Certain Method for Studying the Solvability of a Nonlocal Problem for the Boussinesq–Love Equation

A. V. Gilev p. 5497  abstract

Numerical Solution of the Initial Boundary Value Problem of the Impact of a Shock Pulse on a Layer of a Bulk Medium

I. K. Gimaltdinov, A. S. Rodionov, O. Yu. Valiakhmetova, and A. T. Akhmetov p. 5508  abstract

On the Dirichlet Problem for a Three-dimensional Equation of Mixed Type with Two Planes of Type Change in a Parallelepiped

A. A. Gimaltdinova p. 5517  abstract

On a Boundary Value Problem for a Third Order Elliptic-hyperbolic Equation with Superposition Operators of the First and Second Orders in a Rectangular Domain

B. I. Islomov, and G. K. Kylyshbaeva p. 5526  abstract

Radon–Kipriyanov Transform of Finite Functions

V. A. Kalitvin, and M. G. Lapshina p. 5537  abstract

On the Unambiguous Solvability of a Multidimensional Initial-boundary Value Problem for the Beam Oscillation Equation with Nonlocal Boundary Conditions in Sobolev Classes

Sh. G. Kasimov, and A. P. Koshanov p. 5546  abstract

The Dirichlet Problem for an Elliptic Equation with Singular Line Inside the Area

R. S. Khairullin p. 5559  abstract

Initial-Boundary Value Problem for a Third-Order Semilinear Hyperbolic Equation with the Wave Operator

V. I. Korzyuk, and J. V. Rudzko p. 5569  abstract

Equivalence of Entropy and Renormalized Solutions of Nonlinear Elliptic Equations with \(L_{1}\)-Data in the Space \(\mathbb{R}^{n}\)

L. M. Kozhevnikova p. 5581  abstract

Bifurcations of Invariant Manifolds for a Periodic Boundary Value Problem for a Generalized Version of the Cahn–Hilliard Equation

A. N. Kulikov, and D. A. Kulikov p. 5593  abstract

The Fourier Method and the Generalized Solution of the Mixed Problem for Inhomogeneous Wave Equation

I. S. Lomov p. 5603  abstract

On Weighted Plane Waves Generated by the Poisson Operator and Associated with a Singular Differential Bessel Operator with a Negative Parameter

L. N. Lyakhov, S. A. Roshchupkin, and E. L. Sanina p. 5617  abstract

Solving a Boundary Value Problem for a System of Equations of Gas Dynamics Describing the Motion of an Evaporating Droplet in an Electromagnetic Radiation Field

N. V. Malai, and Yu. I. Shostak p. 5623  abstract

On One Boundary Value Problem for a Factorized Equation of the Fifth Order

L. B. Mironova p. 5632  abstract

An Analogue of the Zhegalov Problem with Data on Internal Characteristics for a Mixed-type Equation with a Singular Coefficient

M. M. Mirsaburov, and Sh. I. Allakova p. 5637  abstract

On the Construction of Differential Equations of Systems with Program Constraints

R. G. Mukharlyamov p. 5649  abstract

On the Recovery of Semi-group Operators in Weight Spaces from Incomplete and Inaccurate Data

M. V. Polovinkina p. 5658  abstract

Direct and Inverse Coefficient Problems for the Telegraph Equation with Variable Potential

K. B. Sabitov p. 5670  abstract

Three-dimensional Initial Boundary Value Problem for a Degenerate Equation of Mixed Parabolic-Hyperbolic Type

S. N. Sidorov p. 5683  abstract

Integral Lebesgue–Kipriyanov Measure and Weighted Partial Integral Operators for Functions with Axial Spherical Symmetry

N. I. Trusova p. 5699  abstract

Characteristic Function of Quadratic Convolution Functional on the Space of Trajectories of Gaussian Processes

Yu. P. Virchenko, and A. S. Mazmanishvili p. 5709  abstract

Boundary Value Problem for a Parabolic-hyperbolic Equation with a Reaction–diffusion Operator of Fractional Order

O. Kh. Abdullaev, and A. K. Sobirjonov p. 5723  abstract

Transposed Poisson Structures on Low Dimensional Quasi-Filiform Lie Algebras of Maximum Length

K. Abdurasulov, F. Deraman, A. Saydaliyev, and S. H. Sapar p. 5735  abstract

On a Nonlocal Problem for Nonlinear Impulse Systems of Second-Order Differential Equations with Nonlinea Boundary Conditions

T. A. Abduvahobov, A. K. Tankeyeva, and T. K. Yuldashev p. 5750  abstract

Enhancement of Services for Working with Big Data with an Emphasis on Intelligent Analysis and Visualization of Network Traffic Exchange in the National Research Computer Network

A. G. Abramov p. 5764  abstract

Exploring Solutions for Fractional Hybrid Differential Systems Involving Riemann–Liouville Differential Operator

Habibulla Akhadkulov, Fahad Alsharari, and Umarali Nazarov p. 5777  abstract

A Three-Parameter Problem for Fractional Differential Equation with an Abstract Operator

R. R. Ashurov, and N. Sh. Nuraliyeva p. 5788  abstract

Global Solvability of the Kernel Identification Problem for the Integro-Differential Equation of Beam Vibrations

U. D. Durdiev p. 5802  abstract

Solving the Cauchy Problem for a Fractional Parabolic Degenerate Equation Using the Hankel Transform Method

A. Hasanov, and H. A. Yuldashova p. 5815  abstract

Lattice Boltzmann Algorithm for Vessel Enhancement Problems

O. V. Ilyin p. 5823  abstract

Mathematical Simulation of Interphase Mass Exchange in Course of Filtration of Immiscible Liquids in Deformable Porous Media

M. G. Khramchenkov p. 5831  abstract

Variations of Rigidity for Models of Weakly O-Minimal Theories

B. Sh. Kulpeshov, and S. V. Sudoplatov p. 5837  abstract

Applications of Lie Groups Related to Segal’s Cosmos. I. The Multi-Level Model as Chronometry’s Unification with the Standard Model

A. V. Levichev, A. Yu. Palyanov, and M. V. Neshchadim p. 5845  abstract

The Point Spectrum of the Three-Particle Schrödinger Operator on \(\boldsymbol{\mathbb{Z}}\) with Masses \(\boldsymbol{m_{1}=m_{2}=\infty}\) and \(\boldsymbol{m_{3}<\infty}\)

Z. I. Muminov, and Vasila Aktamova p. 5860  abstract

Existence of Positive Solutions for Mixed Compartment Fractional Differential Systems with Multi-Point Fractional Boundary Conditions

Nemat Nyamoradi, and Bashir Ahmad p. 5875  abstract

Ground States and Gibbs Measures for the SOS Model with an External Field and Countable Set of Spin Values on a Cayley Tree

Muzaffar M. Rahmatullaev, and Bunyod U. Abraev p. 5888  abstract

Solution of a Singular Integral Equation of Volterra Type of the Second Kind

M. I. Ramazanov, N. K. Gulmanov, S. S. Kopbalina, and M. T. Omarov p. 5898  abstract

Composition and Products in Vector-valued Sobolev Spaces and Application

V. B. Shakhmurov p. 5907  abstract

The Number and Location of Eigenvalues of Two Particle Schrödinger Operators on a Lattice

S. S. Ulashov, Sh. I. Khamidov, and Sh. S. Lakaev p. 5918  abstract

Penalized Wall Function Method with Dynamic Solution Matching in the Separation and Reattachment Regions

O. V. Vasilyev, N. S. Zhdanova, and N. A. Kluev p. 5932  abstract

SANNI: Online Imputation of Missing Values in Multivariate Time Series Based on Deep Learning and Behavioral Patterns

A. A. Yurtin, and M. L. Zymbler p. 5948  abstract