Doklady Mathematics

Article	Citations
On Procedures for Testing the Equivalence of Distribution Tails	69
On Asymptotics of Attractors of the Navier–Stokes System in Anisotropic Medium with Small Periodic Obstacles	16
On Analogues of Herbrand’s and Harrop’s Theorems for the Joint Logic of Problems and Propositions QHC	16
Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium	12
Invariants of Seventh-Order Homogeneous Dynamical Systems with Dissipation	10
WKB Method for Nonlinear Equations of Emden–Fowler Type	10
Scheduling in Multiagent Systems Using Reinforcement Learning	9
Two-Colorings of Normed Spaces with No Long Monochromatic Unit Arithmetic Progressions	9
Individual Stability of Pareto Equilibrium of Threats and Counterthreats in a Coalition Differential Game without Side Payments	8
The Software System LingvoDoc and the Possibilities It Offers for Documentation and Analysis of Ob-Ugric Languages	8
Quasi-Normal Forms in the Problem of Vibrations of Pedestrian Bridges	7
On Solvability of a Pursuit Game with Nonlinear Dynamics in Hilbert Space	7
One-Armed Bandit Problem and the Mirror Descent Algorithm	7
Search for Optimal Architecture of Physics-Informed Neural Networks Using Differential Evolution Algorithm	7
On the Behavior of Solutions of the Prandtl System for a Ladyzhenskaya Viscous MHD Medium in the Flow through a Confuser	6
A Note on Borsuk’s Problem in Minkowski Spaces	6
Weakly Singular Steklov Condition in the Multidimensional Case	6
On Tautochronic Motions	6
On Gaussian Transition Operators	5
On Tests to Distinguish Distribution Tails Invariant with Respect to the Scale Parameter	5
Existence and Stability of Equilibrium Solutions of the Vlasov Equation with a Modified Gravitational Potential	5
Semiproducts, Products, and Modal Predicate Logics: Some Examples	5
Correct Solvability of Integrodifferential Equations in Spaces of Vector Functions Holomorphic in an Angular Domain	5
To Birman–Krein–Vishik Theory	5
Optimization of Oscillations of Mechanical Systems	5

Accounting for Phase Limitations During Intense Acceleration of a Mobile Robot and Its Motion in Drift Mode	4
Integral Estimates of Derivatives of Rational Functions in Hölder Domains	4
On Optimal Rotation of a Rigid Body by Applying Internal Forces	4
1-Dimensional Topological Invariants to Estimate Loss Surface Non-Convexity	4
Suppression of Multiplicative Noise in Images via Grouping of Similar Objects	4
Intransitively Winning Chess Players’ Positions	4
Connectedness of Prym Eigenform Loci in Genus 5	4
Loss Function Dynamics and Landscape for Deep Neural Networks Trained with Quadratic Loss	4
Estimate for the Domain of Univalence in the Class of Holomorphic Self-Maps of a Disk with Two Boundary Fixed Points	3
Dynamics of Systems with Unilateral Differential Constraints	3
Introductory Words of AI Journey Team	3
Group Structures on Algebraic Varieties	3
Equilibrium in Secure Strategies As a Development of the Concept of Nash Equilibrium	3
Upper Bound for the Competitive Facility Location Problem with Demand Uncertainty	3
Tensor Invariants of Geodesic, Potential, and Dissipative Systems on Tangent Bundles of Two-Dimensional Manifolds	3
Geometric Deep Learning for Design of Catalysts and Molecules	3
Self-Affine Tiling of Polyhedra	3
On the Structure of Laplacian Characteristic Polynomial of Circulant Graphs	3
eco4cast: Bridging Predictive Scheduling and Cloud Computing for Reduction of Carbon Emissions for ML Models Training	3
On the Periodicity Problem for the Continued Fraction Expansion of Elements of Hyperelliptic Fields with Fundamental S-Units of Degree at Most 11	3
On a Strengthening of the Non-Isomorphism Theorem for Provability Algebras	3
On the Atypical Strength Anisotropy of Weakly Cemented Sandstones	3
On Convergence of Finite-Difference Shock-Capturing Schemes in Regions of Shock Waves Influence	3
On Condensations onto σ-Compact Spaces	3
Do we Benefit from the Categorization of the News Flow in the Stock Price Prediction Problem?	3
TOMMANO—Virtualised Network Functions Management in Cloud Environment based on the TOSCA Standard	3
ESGify: Automated Classification of Environmental, Social, and Corporate Governance Risks	3
An Inverse Problem for a Semilinear Wave Equation	3
Trajectory of an Observer Tracking the Motion of an Object around a Convex Set in $${{\mathbb{R}}^{3}}$$	3
eco2AI: Carbon Emissions Tracking of Machine Learning Models as the First Step Towards Sustainable AI	3
Extremum Conditions for Constrained Scalar Control of Two Nonsynchronous Oscillators in the Time-Optimal Control Problem	3
On Stabilization of an Explicit Difference Scheme for a Nonlinear Parabolic Equation	3
Construction of an Artificial Neural Network for Solving the Incompressible Navier–Stokes Equations	3
Cooperative Multicriteria Dynamic Games: Application to Transportation Problems	2
Construction of Smooth Source–Sink Arcs in the Space of Diffeomorphisms of a Two-Dimensional Sphere	2
On the Number of Pursuers That Guarantees the Capture of the Evader in a Game on the Graph of Icosahedral Edges	2
New Cases of Integrability of Systems of Geodesics and Potential and Dissipative Systems on Tangent Bundles of Finite-Dimensional Manifolds	2
Neural Network-Based Coronary Dominance Classification of RCA Angiograms	2
Joint Modeling of Wave Phenomena by Applying the Grid-Characteristic Method and the Discontinuous Galerkin Method	2
An Empirical Scrutinization of Four Crisp Clustering Methods with Four Distance Metrics and One Straightforward Interpretation Rule	2
Asymptotic Structure of Eigenvalues and Eigenvectors of Certain Triangular Hankel Matrices	2
Inverse Problem for a Monoid with an Exponential Sequence of Primes	2
Infinite Linear Independence with Constraints on a Subset of Prime Numbers for Values of Euler-Type Series with Polyadic Liouville Parameter	2
Mathematical Modeling of Neo-Hookean Material Growth	2
Dynamic Models of Competition with Endogenous Network Formation: The Case of Constant Output	2
Optimal Trajectory of an Observer Tracking the Motion of an Object Equipped with a Striking Device	2
Generating Survival Interpretable Trajectories and Data	2
Exact Estimates of Functions in Sobolev Spaces with Uniform Norm	2
Mathematical Modeling of Plasma Transport in a Helical Magnetic Field	2
Intermediate Asymptotics for Solutions to Equations of Emden–Fowler Type	2

Computers As a Novel Mathematical Reality: III. Mersenne Numbers and Sums of Divisors	2
Machine Learning As a Tool to Accelerate the Search for New Materials for Metal-Ion Batteries	2
The Second Boundary Value Problem for Differential-Difference Equations	2
On Interpretations of Presburger Arithmetic in Büchi Arithmetics	2
On the Spectrum of a Non-Self-Adjoint Quasiperiodic Operator	2
On a Paradoxical Property of the Shift Mapping on an Infinite-Dimensional Tori	2
Correct Solvability and Exponential Stability for Solutions of Volterra Integro-Differential Equations	2
Stack More LLM’s: Efficient Detection of Machine-Generated Texts via Perplexity Approximation	2
Bernstein–Riemann Interpolation Formula for Arbitrary Continuous Functions on an Interval	2
Three-Level Scheme for Solving the Radiation Diffusion Equation	2
Quotients of Severi–Brauer Surfaces	2
On Kernels of Invariant Schrödinger Operators with Point Interactions. Grinevich–Novikov Conjecture	2
Solutions of Cooperative Differential Games with Partner Sets	2
Computers as a Novel Mathematical Reality: I. A Personal Account	2
Attack against Layered Defense	2
Dynamics of a System of Two Equations with a Large Delay	2
Accessible Russian Large Language Models: Open-Source Models and Instructive Datasets for Commercial Applications	2
On Numerical Beamforming for Acoustic Source Identification Based on Supercomputer Simulation Data	2
On Periodic Solutions of Quasilinear Parabolic Equations with Boundary Conditions of Bitsadze–Samarskii Type	2
On the Word Fragment Length for Unambiguous Reconstruction of a Periodic Word from a Complete Multiset of Fragments of Fixed Length	2
Axiomatic Definition of Small Cancellation Rings	2
CRAFT: Cultural Russian-Oriented Dataset Adaptation for Focused Text-to-Image Generation	2
On Thermal Boundary Layer in a Viscous Non-Newtonian Medium	1
A Model Zeta Function of the Monoid of Natural Numbers	1
Dynamics of a Chain of Logistic Equations with Delay and Antidiffusive Coupling	1
Arithmetic Properties of Values at Polyadic Liouville Points of Euler-Type Series with Polyadic Liouville Parameter	1
Large Language Models in Cyberattacks	1
Weakly Saturated Subgraphs of Random Graphs	1
Numerical Study of the Zaremba Problem	1
AI Methods in Control of Personalized General Education	1
Potential Game in a Parallel Transportation Network with Symmetric Externalities	1
On the Strong Chromatic Number of Random Hypergraphs	1
On Some Modifications of Arnold’s Cat Map	1
SciRus: Tiny and Powerful Multilingual Encoder for Scientific Texts	1
Incremental Learning of Topic Models for Finding Trend Topics in Scientific Publications	1
A Generalization of the First Beurling–Malliavin Theorem	1
On Kantorovich Problems with a Parameter	1
AI Review of Polygraph Screenings	1
On the Finiteness of the Set of Generalized Jacobians with Nontrivial Torsion Points over Algebraic Number Fields	1
On Numerical Modeling of Fiber Deformation and Destruction under Impact Load	1
Optimization of Oscillations of Mechanical Systems with Friction	1
Many-Dimensional Zaremba Problem for an Inhomogeneous p-Laplace Equation	1
Neural Network Image Classifiers Informed by Factor Analyzers	1
On Derivation of Equations of Gravitation from the Principle of Least Action, Relativistic Milne–McCrea Solutions, and Lagrange Points	1
Digital Ark of Knowledge	1
Erratum to: Solution of the Wave Equation for the Control of an Electromagnetoelastic Transducer	1
Ramond and Neveu–Schwarz Algebras and Narrow Lie Superalgebras	1
Coalition Pareto-Optimal Solution in a Nontransferable Game	1
SpiderNet: Fully Connected Residual Network for Fraud Detection	1
Constructive Combinatorics in Elementary School Mathematics	1
Sufficient Condition for Polynomial Solvability of Random 3-CNF Formulas	1
Mathematical Model of Thermocurrents Based on Calculation of Electrical Resistance and Thermopower As an Integral over Electron Energy	1
On an Approximation by Band-Limited Functions	1
Hiding Backdoors within Event Sequence Data via Poisoning Attacks	1
Approximation Algorithms with Constant Factors for a Series of Asymmetric Routing Problems	1
Classical Problems of Rational Approximation	1
Application of the Multiscale Approach to Simulation of Air Sorbent Filtration	1
On Fixed Points of Continuous Mappings Associated with Construction of Artificial Neural Networks	1
Inversion Problem for Radon Transforms Defined on Pseudoconvex Sets	1
Operator Spectrum Transformation in Hartree–Fock and Kohn–Sham Equations	1
Intransitive Sets of Financial Strategies with Constant Levels	1
FusionBrain: Research Project in Multimodal and Multitask Learning	1
Phaseless Problem of Determination of Anisotropic Conductivity in Electrodynamic Equations	1
Behavior of Binomial Distribution near Its Median	1
Approximation of Boundary Condition in Higher Order Grid-Characteristic Schemes	1
Artificial Intelligence in Society	1
Mathematical Modeling of Nonstationary Problems Related to Laser Thermochemistry of Methane in the Presence of Catalytic Nanoparticles	1
On the Stationary Non-Equilibrium Measures for the “Field–Crystal” System	1
Hierarchical Method for Cooperative Multiagent Reinforcement Learning in Markov Decision Processes	1
Analysis of a Growth Model with a CES Production Function	1
Erratum to: Computer Experiment in Teaching Mathematics	1
On Convergent Series Expansions for Solutions of Nonlinear Ordinary Differential Equations	1
Method for False Extrema Localization in Global Optimization	1
Application of the CABARET Scheme for Calculating Discontinuous Solutions of a Hyperbolic System of Conservation Laws	1
Bernstein Inequality for the Riesz Derivative of Fractional Order Less Than Unity of Entire Functions of Exponential Type	1
Computers As a Novel Mathematical Reality: IV. The Goldbach Problem	1
Neural Networks for Coordination Analysis	1
Dynamic Models of Competition and Cooperation in Cournot Oligopoly Taking into Account the Environmental Impact	1
Arithmetic Properties of Polyadic Integers	1
Multidimensional Cubature Formulas with Superpower Convergence	1

Dependence of the Dynamics of a Model of Coupled Oscillators on the Number of Oscillators	1
Description of Turbulent Flows Using a Kinetic Model	1
Erratum to: Infobusiness As a New Digital Phenomenon in the Socio-Economic Sphere of Russia: Possibilities of Modeling and Regulation	1
Optimization of Physics-Informed Neural Networks for Solving the Nolinear Schrödinger Equation	1
A New Spectral Measure of Complexity and Its Capabilities for Detecting Signals in Noise	1
Universal Representations for Well-Logging Data via Ensembling of Self-Supervised Models	1
Erratum to: On Numerical Modeling of Fiber Deformation and Destruction under Impact Load	1
Zeros of Conic Functions, Fixed Points, and Coincidences	1
Construction of Families of Equations to Describe Irregular Solutions in the Fermi–Pasta–Ulam Problem	1
Compactification of Spaces of Measures and Pseudocompactness	1
Mathematical Modeling of 3D Dynamic Processes near a Fracture Using the Schoenberg Fracture Model	1
Digital World, Mathematics, and Education	1
Erratum to: Ray Statement of the Acoustic Tomography Problem	1
On Quantitative Assessment of Chirality: Right- and Left-Handed Geometric Objects	1
An Exact Quadratic Algorithm for the Shortest Tree Transformation	1
Rotation Functions of Integrable Billiards As Orbital Invariants	1
On Topological Classification of Regular Denjoy Type Homeomorphisms	1
Conservativity Spectra and Joosten–Fernández Model	1
Simple Pursuit Problem with Phase Constraints of Two Coordinated Evaders on Time Scales	1
Aperiodical Isoperimetric Planar Homogenization with Critical Diameter: Universal Non-local Strange Term for a Dynamical Unilateral Boundary Condition	1
Nonstationary Venttsel Problem with VMOx Leading Coefficients	1
About Minimal Polynomial of Residual Fractions for Algebraic Irrationalities	1
Introductory Words of AI Journey Team	1
On the Dynamics of Systems with Two Degrees of Freedom	1
Generalization of the Landau and Becker–Pommerenke Inequalities	1
A Stability Estimate in the Source Problem for the Radiative Transfer Equation	1
Solvability of the Initial-Boundary Value Problem for the Kelvin–Voigt Fluid Motion Model with Variable Density	1
Automated System for Analysis of OCT Retina Images Development and Testing	1
The Work of a Mathematician As a Prefiguring of Mastering Mathematics by Students: The Role of Experiments	1
Existence and Relaxation of Solutions for a Differential Inclusion with Maximal Monotone Operators and Perturbations	1
Study of Volterra Integro-Differential Equations by Methods of Semigroup Theory	0
Hyperbolic Equation with Rapidly Oscillating Data: Reconstruction of the Small Lowest Order Coefficient and the Right-Hand Side from Partial Asymptotics of the Solution	0
Cops and Robber Game on Infinite Chessboard	0
Sub-Riemannian Engel Sphere	0
Markov Approximations of the Evolution of Quantum Systems	0
Boundary Value Problems for Ordinary Differential Equations with Linear Dependence on the Spectral Parameter	0
Analytic Method for Solving One Class of Nonlinear Equations	0
Erratum to: On an Extremal Problem for Compactly Supported Positive Definite Functions	0
Modeling Formation and Removal of Limescale in Water Treatment Systems	0
System Approach to the Study of State Policies and Formation of Ethics of Application of Artificial Intelligence Technologies: Global Atlas of Regulation	0
Safe Pretraining of Deep Language Models in a Synthetic Pseudo-Language	0
Sharp Dimension Estimates for the Attractors of the Regularized Damped Euler System	0
Machine Learning to Control Network Powered by Computing Infrastructure	0
Randomization and Entropy in Machine Learning and Data Processing	0
On Barenblatt–Zeldovich Intermediate Asymptotics	0
UCB Strategies and Optimization of Batch Processing in a One-Armed Bandit Problem	0
Investigation of Neural Network Algorithms for Human Movement Prediction Based on LSTM and Transformers	0
Prediction of Industrial Cyber Attacks Using Normalizing Flows	0
On Subspaces of an Orlicz Space Spanned by Independent Identically Distributed Functions	0
The Riemann Hypothesis As the Parity of Special Binomial Coefficients	0
Estimate of the Number of Edges in Subgraphs of a Johnson Graph	0
Multi-vortices and Lower Bounds for the Attractor Dimension of 2D Navier–Stokes Equations	0
Proof of Stability in the Brower–Paul Problem	0
Text Reuse Detection in Handwritten Documents	0
Representations of Solutions for Volterra Integro-Differential Equations in Hilbert Spaces	0
Fokker–Planck–Kolmogorov Equations with a Parameter	0
Reachable Set of the Dubins Car with an Integral Constraint on Control	0
Generalization of Jacobi’s Theorem on the Last Multiplier	0
An Inverse Problem for Electrodynamic Equations with Nonlinear Conductivity	0
Estimation of the Size of Structural Formations in Ultrasound Imaging through Statistical Analysis of the Echo Signal	0
Tunnel Clustering Method	0
On the Correct Solvability of the Dirichlet Boundary Value Problem for the Generalized Helmholtz Equation in a Strip	0
OntoMathPRO: An Ontology of Mathematical Knowledge	0
Two-Dimensional Self-Trapping Structures in Three-Dimensional Space	0
Trusted Artificial Intelligence: Challenges and Promising Solutions	0
Continued Fractions in Hyperelliptic Fields with an Arbitrarily Long Period	0
An Observer Moving along a Cone in $${{\mathbb{R}}^{3}}$$ under Conditions of Object’s Opposition	0
Foundations of Mathematical Education in the Digital Age	0
On a Family of Complex-Valued Stochastic Processes	0
On the 4-Spectrum of First-Order Properties of Random Graphs	0
About Modifications of the Loss Function for the Causal Training of Physics-Informed Neural Networks	0
Real-Valued Spectral Shift Functions for Contractions and Dissipative Operators	0
A New Computationally Simple Approach for Implementing Neural Networks with Output Hard Constraints	0
Differential Games in a Banach Space without Discrimination	0
On Hyperelliptic Curves of Odd Degree and Genus g with Six Torsion Points of Order 2g + 1	0
Towards Efficient Learning of GNNs on High-Dimensional Multilayered Representations of Tabular Data	0
Primary School Mathematics in the Context of Digitalization	0
Multistage Model for Renewable Resource Extraction by Players of Two Types	0
An Approach for Constructing Refined Generalized Models of Composite Durability in Extreme Conditions Based on the Modern Kinetic Theory of Strength	0
Probability Calibration with Fuzzy Set Theory to Improve Early Cancer Detection	0
Solving Nonlinear Inverse Problems Based on the Regularized Modified Gauss–Newton Method	0
Deep Learning Approach to Classification of Acoustic Signals Using Information Features	0
On One Approach to the Numerical Solution of a Coefficient Inverse Problem	0
On Derivation of Equations of Electrodynamics and Gravitation from the Principle of Least Action, the Hamilton–Jacobi Method, and Cosmological Solutions	0
Prospects of Using Artificial Intelligence in Business Tasks	0
Uniqueness of Solutions of Initial-Boundary Value Problems for Parabolic Systems with Dini-Continuous Coefficients in Domains on the Plane	0
Badly Approximable Matrices and Diophantine Exponents	0
Improving the Quality of Tomographic Images of a Medium Using Irradiation with Pulses of Different Duration	0
Creating New Mathematics by Schoolchildren	0
Trajectory of an Observer Tracking Object Motion around Convex Obstacles in $${{\mathbb{R}}^{2}}$$ and $${{\mathbb{R}}^{3}}$$	0
Application of Bargaining Schemes for Equilibrium Determination in Dynamic Games	0
Principle of Dynamic Balance of Demographic Process and the Limits of World Population Growth	0
Machine Search Problem for Mathematical Expression	0
On the Homogenization of an Optimal Control Problem in a Domain Perforated by Holes of Critical Size and Arbitrary Shape	0
On Obtaining Initial Approximation for the Full Wave Inversion Problem Using Convolutional Neural Network	0