Doklady Mathematics

Article	Citations
On Procedures for Testing the Equivalence of Distribution Tails	87
On Analogues of Herbrand’s and Harrop’s Theorems for the Joint Logic of Problems and Propositions QHC	20
On Asymptotics of Attractors of the Navier–Stokes System in Anisotropic Medium with Small Periodic Obstacles	16
Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium	13
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
Individual Stability of Pareto Equilibrium of Threats and Counterthreats in a Coalition Differential Game without Side Payments	9
Two-Colorings of Normed Spaces with No Long Monochromatic Unit Arithmetic Progressions	9
The Software System LingvoDoc and the Possibilities It Offers for Documentation and Analysis of Ob-Ugric Languages	9
Quasi-Normal Forms in the Problem of Vibrations of Pedestrian Bridges	8
Search for Optimal Architecture of Physics-Informed Neural Networks Using Differential Evolution Algorithm	8
On Solvability of a Pursuit Game with Nonlinear Dynamics in Hilbert Space	7
One-Armed Bandit Problem and the Mirror Descent Algorithm	7
On Tautochronic Motions	7
On the Behavior of Solutions of the Prandtl System for a Ladyzhenskaya Viscous MHD Medium in the Flow through a Confuser	6
To Birman–Krein–Vishik Theory	6
A Note on Borsuk’s Problem in Minkowski Spaces	6
Weakly Singular Steklov Condition in the Multidimensional Case	6
Existence and Stability of Equilibrium Solutions of the Vlasov Equation with a Modified Gravitational Potential	5
On Optimal Rotation of a Rigid Body by Applying Internal Forces	5
Correct Solvability of Integrodifferential Equations in Spaces of Vector Functions Holomorphic in an Angular Domain	5
On Gaussian Transition Operators	5
On Tests to Distinguish Distribution Tails Invariant with Respect to the Scale Parameter	5
Semiproducts, Products, and Modal Predicate Logics: Some Examples	5

Optimization of Oscillations of Mechanical Systems	5
Loss Function Dynamics and Landscape for Deep Neural Networks Trained with Quadratic Loss	5
1-Dimensional Topological Invariants to Estimate Loss Surface Non-Convexity	4
Group Structures on Algebraic Varieties	4
On the Periodicity Problem for the Continued Fraction Expansion of Elements of Hyperelliptic Fields with Fundamental S-Units of Degree at Most 11	4
Integral Estimates of Derivatives of Rational Functions in Hölder Domains	4
Accounting for Phase Limitations During Intense Acceleration of a Mobile Robot and Its Motion in Drift Mode	4
TOMMANO—Virtualised Network Functions Management in Cloud Environment based on the TOSCA Standard	4
eco4cast: Bridging Predictive Scheduling and Cloud Computing for Reduction of Carbon Emissions for ML Models Training	4
Connectedness of Prym Eigenform Loci in Genus 5	4
ESGify: Automated Classification of Environmental, Social, and Corporate Governance Risks	4
Dynamics of Systems with Unilateral Differential Constraints	4
Intransitively Winning Chess Players’ Positions	4
On the Structure of Laplacian Characteristic Polynomial of Circulant Graphs	3
Introductory Words of AI Journey Team	3
Trajectory of an Observer Tracking the Motion of an Object around a Convex Set in $${{\mathbb{R}}^{3}}$$	3
Tensor Invariants of Geodesic, Potential, and Dissipative Systems on Tangent Bundles of Two-Dimensional Manifolds	3
Construction of an Artificial Neural Network for Solving the Incompressible Navier–Stokes Equations	3
Infinite Linear Independence with Constraints on a Subset of Prime Numbers for Values of Euler-Type Series with Polyadic Liouville Parameter	3
Generating Survival Interpretable Trajectories and Data	3
Exact Estimates of Functions in Sobolev Spaces with Uniform Norm	3
Equilibrium in Secure Strategies As a Development of the Concept of Nash Equilibrium	3
Do we Benefit from the Categorization of the News Flow in the Stock Price Prediction Problem?	3
An Inverse Problem for a Semilinear Wave Equation	3
On Stabilization of an Explicit Difference Scheme for a Nonlinear Parabolic Equation	3
Extremum Conditions for Constrained Scalar Control of Two Nonsynchronous Oscillators in the Time-Optimal Control Problem	3
On the Atypical Strength Anisotropy of Weakly Cemented Sandstones	3
Mathematical Modeling of Plasma Transport in a Helical Magnetic Field	3
Quotients of Severi–Brauer Surfaces	3
On a Paradoxical Property of the Shift Mapping on an Infinite-Dimensional Tori	3
Construction of Smooth Source–Sink Arcs in the Space of Diffeomorphisms of a Two-Dimensional Sphere	3
Geometric Deep Learning for Design of Catalysts and Molecules	3
Self-Affine Tiling of Polyhedra	3
Estimate for the Domain of Univalence in the Class of Holomorphic Self-Maps of a Disk with Two Boundary Fixed Points	3
On Condensations onto σ-Compact Spaces	3
Upper Bound for the Competitive Facility Location Problem with Demand Uncertainty	3
eco2AI: Carbon Emissions Tracking of Machine Learning Models as the First Step Towards Sustainable AI	3
Cooperative Multicriteria Dynamic Games: Application to Transportation Problems	3
Three-Level Scheme for Solving the Radiation Diffusion Equation	3
On Convergence of Finite-Difference Shock-Capturing Schemes in Regions of Shock Waves Influence	3
Computers as a Novel Mathematical Reality: I. A Personal Account	2
Computers As a Novel Mathematical Reality: III. Mersenne Numbers and Sums of Divisors	2
CRAFT: Cultural Russian-Oriented Dataset Adaptation for Focused Text-to-Image Generation	2
Solutions of Cooperative Differential Games with Partner Sets	2
On Interpretations of Presburger Arithmetic in Büchi Arithmetics	2
Machine Learning As a Tool to Accelerate the Search for New Materials for Metal-Ion Batteries	2
Dynamics of a System of Two Equations with a Large Delay	2
On the Number of Pursuers That Guarantees the Capture of the Evader in a Game on the Graph of Icosahedral Edges	2
Aperiodical Isoperimetric Planar Homogenization with Critical Diameter: Universal Non-local Strange Term for a Dynamical Unilateral Boundary Condition	2
Conservativity Spectra and Joosten–Fernández Model	2

The Second Boundary Value Problem for Differential-Difference Equations	2
Rotation Functions of Integrable Billiards As Orbital Invariants	2
Inverse Problem for a Monoid with an Exponential Sequence of Primes	2
Dynamic Models of Competition with Endogenous Network Formation: The Case of Constant Output	2
Attack against Layered Defense	2
Bernstein–Riemann Interpolation Formula for Arbitrary Continuous Functions on an Interval	2
Asymptotic Structure of Eigenvalues and Eigenvectors of Certain Triangular Hankel Matrices	2
New Cases of Integrability of Systems of Geodesics and Potential and Dissipative Systems on Tangent Bundles of Finite-Dimensional Manifolds	2
An Empirical Scrutinization of Four Crisp Clustering Methods with Four Distance Metrics and One Straightforward Interpretation Rule	2
On the Spectrum of a Non-Self-Adjoint Quasiperiodic Operator	2
On Numerical Modeling of Fiber Deformation and Destruction under Impact Load	2
On the Stationary Non-Equilibrium Measures for the “Field–Crystal” System	2
Analysis of a Growth Model with a CES Production Function	2
On Numerical Beamforming for Acoustic Source Identification Based on Supercomputer Simulation Data	2
Axiomatic Definition of Small Cancellation Rings	2
On the Word Fragment Length for Unambiguous Reconstruction of a Periodic Word from a Complete Multiset of Fragments of Fixed Length	2
Stack More LLM’s: Efficient Detection of Machine-Generated Texts via Perplexity Approximation	2
Intermediate Asymptotics for Solutions to Equations of Emden–Fowler Type	2
Accessible Russian Large Language Models: Open-Source Models and Instructive Datasets for Commercial Applications	2
On Kernels of Invariant Schrödinger Operators with Point Interactions. Grinevich–Novikov Conjecture	2
On Periodic Solutions of Quasilinear Parabolic Equations with Boundary Conditions of Bitsadze–Samarskii Type	2
Correct Solvability and Exponential Stability for Solutions of Volterra Integro-Differential Equations	2
Mathematical Modeling of Neo-Hookean Material Growth	2
Erratum to: Ray Statement of the Acoustic Tomography Problem	2
AI Review of Polygraph Screenings	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
A Stability Estimate in the Source Problem for the Radiative Transfer Equation	1
Mathematical Modeling of the Consumer Loan Market in Russia under Sanctions	1
Weakly Saturated Subgraphs of Random Graphs	1
Existence and Relaxation of Solutions for a Differential Inclusion with Maximal Monotone Operators and Perturbations	1
Estimates of Alexandrov’s n-Width of a Compact Set for Some Infinitely Differentiable Periodic Functions	1
Dependence of the Dynamics of a Model of Coupled Oscillators on the Number of Oscillators	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
Phaseless Problem of Determination of Anisotropic Conductivity in Electrodynamic Equations	1
Simple Pursuit Problem with Phase Constraints of Two Coordinated Evaders on Time Scales	1
Constructive Combinatorics in Elementary School Mathematics	1
Computers As a Novel Mathematical Reality: IV. The Goldbach Problem	1
FusionBrain: Research Project in Multimodal and Multitask Learning	1
Ramond and Neveu–Schwarz Algebras and Narrow Lie Superalgebras	1
Solvability of the Initial-Boundary Value Problem for the Kelvin–Voigt Fluid Motion Model with Variable Density	1
Universal Representations for Well-Logging Data via Ensembling of Self-Supervised Models	1
Inversion Problem for Radon Transforms Defined on Pseudoconvex Sets	1
On an Approximation by Band-Limited Functions	1
On the Dynamics of Systems with Two Degrees of Freedom	1
A Model Zeta Function of the Monoid of Natural Numbers	1
Digital World, Mathematics, and Education	1
Approximation Algorithms with Constant Factors for a Series of Asymmetric Routing Problems	1
Erratum to: Computer Experiment in Teaching Mathematics	1
Large Language Models in Cyberattacks	1
SciRus: Tiny and Powerful Multilingual Encoder for Scientific Texts	1
Neural Networks for Coordination Analysis	1
Study of the Bias in Monte Carlo N-Particle Estimates for Problems with Particle Interaction	1
AI Methods in Control of Personalized General Education	1
Digital Ark of Knowledge	1
Brain Principles Programming	1
Sufficient Condition for Polynomial Solvability of Random 3-CNF Formulas	1
Nonstationary Venttsel Problem with VMOx Leading Coefficients	1
Coalition Pareto-Optimal Solution in a Nontransferable Game	1
On Higher Integrability of the Gradient of Solutions to the Zaremba Problem for p-Laplace Equation	1
SpiderNet: Fully Connected Residual Network for Fraud Detection	1
Mathematical Model of Thermocurrents Based on Calculation of Electrical Resistance and Thermopower As an Integral over Electron Energy	1
Erratum to: The Software System LingvoDoc and the Possibilities It Offers for Documentation and Analysis of Ob-Ugric Languages	1
On Thermal Boundary Layer in a Viscous Non-Newtonian Medium	1
Many-Dimensional Zaremba Problem for an Inhomogeneous p-Laplace Equation	1
Neural Network Image Classifiers Informed by Factor Analyzers	1
Operator Spectrum Transformation in Hartree–Fock and Kohn–Sham Equations	1
Behavior of Binomial Distribution near Its Median	1
Application of the CABARET Scheme for Calculating Discontinuous Solutions of a Hyperbolic System of Conservation Laws	1
Compactification of Spaces of Measures and Pseudocompactness	1
An Exact Quadratic Algorithm for the Shortest Tree Transformation	1
Incremental Learning of Topic Models for Finding Trend Topics in Scientific Publications	1
Artificial Intelligence in Society	1
Mathematical Modeling of Nonstationary Problems Related to Laser Thermochemistry of Methane in the Presence of Catalytic Nanoparticles	1
Classical Problems of Rational Approximation	1
Multidimensional Cubature Formulas with Superpower Convergence	1
Hierarchical Method for Cooperative Multiagent Reinforcement Learning in Markov Decision Processes	1
Hiding Backdoors within Event Sequence Data via Poisoning Attacks	1
Intransitive Sets of Financial Strategies with Constant Levels	1

On Derivation of Equations of Gravitation from the Principle of Least Action, Relativistic Milne–McCrea Solutions, and Lagrange Points	1
On the Finiteness of the Set of Generalized Jacobians with Nontrivial Torsion Points over Algebraic Number Fields	1
Description of Turbulent Flows Using a Kinetic Model	1
Erratum to: On Numerical Modeling of Fiber Deformation and Destruction under Impact Load	1
On the Boyarsky–Meyers Estimate for the Gradient of the Solution to the Dirichlet Problem for a Second-Order Linear Elliptic Equation with Drift: The Case of Critical Sobolev Exponent	1
On Some Modifications of Arnold’s Cat Map	1
Construction of Families of Equations to Describe Irregular Solutions in the Fermi–Pasta–Ulam Problem	1
Bernstein Inequality for the Riesz Derivative of Fractional Order Less Than Unity of Entire Functions of Exponential Type	1
Polyadic Liouville Numbers	1
Method for False Extrema Localization in Global Optimization	1
Dynamic Models of Competition and Cooperation in Cournot Oligopoly Taking into Account the Environmental Impact	1
Dual Formulation of the Lemma on Substitution Homomorphisms	1
The Work of a Mathematician As a Prefiguring of Mastering Mathematics by Students: The Role of Experiments	1
Automated System for Analysis of OCT Retina Images Development and Testing	1
Thermal Explosion As a Resonance of the Combustion Process	1
On Convergent Series Expansions for Solutions of Nonlinear Ordinary Differential Equations	1
On Quantitative Assessment of Chirality: Right- and Left-Handed Geometric Objects	1
About Minimal Polynomial of Residual Fractions for Algebraic Irrationalities	1
Numerical Study of the Zaremba Problem	1
On the Strong Chromatic Number of Random Hypergraphs	1
Generalization of the Landau and Becker–Pommerenke Inequalities	1
On Kantorovich Problems with a Parameter	1
Arithmetic Properties of Values at Polyadic Liouville Points of Euler-Type Series with Polyadic Liouville Parameter	1
Arithmetic Properties of Polyadic Integers	1
On Topological Classification of Regular Denjoy Type Homeomorphisms	1
Mathematical Modeling of 3D Dynamic Processes near a Fracture Using the Schoenberg Fracture Model	1
Erratum to: Solution of the Wave Equation for the Control of an Electromagnetoelastic Transducer	1
Application of the Multiscale Approach to Simulation of Air Sorbent Filtration	1
Optimization of Oscillations of Mechanical Systems with Friction	1
A New Spectral Measure of Complexity and Its Capabilities for Detecting Signals in Noise	1
Potential Game in a Parallel Transportation Network with Symmetric Externalities	1
Introductory Words of AI Journey Team	1
Application of Metaheuristic Algorithms for Optimization of Recloser Placement in a Power Supply System with Distributed Generation	1
Zeros of Conic Functions, Fixed Points, and Coincidences	1
Dynamics of a Chain of Logistic Equations with Delay and Antidiffusive Coupling	1
A Generalization of the First Beurling–Malliavin Theorem	1
Approximation of Boundary Condition in Higher Order Grid-Characteristic Schemes	1
On Fixed Points of Continuous Mappings Associated with Construction of Artificial Neural Networks	1
The Riemann Hypothesis As the Parity of Special Binomial Coefficients	0
On the Existence and Estimates of Inverse Functions in the Degenerate Case	0
Towards Efficient Learning of GNNs on High-Dimensional Multilayered Representations of Tabular Data	0
Machine Learning to Control Network Powered by Computing Infrastructure	0
Tunnel Clustering Method	0
Investigation of Neural Network Algorithms for Human Movement Prediction Based on LSTM and Transformers	0
Estimation of the Size of Structural Formations in Ultrasound Imaging through Statistical Analysis of the Echo Signal	0
Probability Calibration with Fuzzy Set Theory to Improve Early Cancer Detection	0
Two-Dimensional Self-Trapping Structures in Three-Dimensional Space	0
Deep Learning Approach to Classification of Acoustic Signals Using Information Features	0
Randomization and Entropy in Machine Learning and Data Processing	0
Safe Pretraining of Deep Language Models in a Synthetic Pseudo-Language	0
Boundary Value Problems for Ordinary Differential Equations with Linear Dependence on the Spectral Parameter	0
About Modifications of the Loss Function for the Causal Training of Physics-Informed Neural Networks	0
On Barenblatt–Zeldovich Intermediate Asymptotics	0
Sub-Riemannian Engel Sphere	0
Prediction of Industrial Cyber Attacks Using Normalizing Flows	0
Proof of Stability in the Brower–Paul Problem	0
On Derivation of Equations of Electrodynamics and Gravitation from the Principle of Least Action, the Hamilton–Jacobi Method, and Cosmological Solutions	0
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
Deforming Implicit Neural Representation Generative Adversarial Network for Unsupervised Appearence Editing	0
Cops and Robber Game on Infinite Chessboard	0
Principle of Dynamic Balance of Demographic Process and the Limits of World Population Growth	0
Generalization of Jacobi’s Theorem on the Last Multiplier	0
Reachable Set of the Dubins Car with an Integral Constraint on Control	0
System Approach to the Study of State Policies and Formation of Ethics of Application of Artificial Intelligence Technologies: Global Atlas of Regulation	0
Markov Approximations of the Evolution of Quantum Systems	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
An Observer Moving along a Cone in $${{\mathbb{R}}^{3}}$$ under Conditions of Object’s Opposition	0
Analytic Method for Solving One Class of Nonlinear Equations	0
Primary School Mathematics in the Context of Digitalization	0
An Approach for Constructing Refined Generalized Models of Composite Durability in Extreme Conditions Based on the Modern Kinetic Theory of Strength	0
Foundations of Mathematical Education in the Digital Age	0
On the 4-Spectrum of First-Order Properties of Random Graphs	0
Machine Search Problem for Mathematical Expression	0
On Subspaces of an Orlicz Space Spanned by Independent Identically Distributed Functions	0
Opening Remarks of the AI Journey Team	0
On Elementary Theory of Completion of Solvable Baumslag–Solitar Group	0
Text Reuse Detection in Handwritten Documents	0
OntoMathPRO: An Ontology of Mathematical Knowledge	0
Multistage Model for Renewable Resource Extraction by Players of Two Types	0
Uniqueness of Solutions of Initial-Boundary Value Problems for Parabolic Systems with Dini-Continuous Coefficients in Domains on the Plane	0
Solving Nonlinear Inverse Problems Based on the Regularized Modified Gauss–Newton Method	0
An Analogue of Mahler’s Transference Theorem for Multiplicative Diophantine Approximation	0
Prospects of Using Artificial Intelligence in Business Tasks	0
An Inverse Problem for Electrodynamic Equations with Nonlinear Conductivity	0
Badly Approximable Matrices and Diophantine Exponents	0
A New Computationally Simple Approach for Implementing Neural Networks with Output Hard Constraints	0
Fokker–Planck–Kolmogorov Equations with a Parameter	0
Differential Games in a Banach Space without Discrimination	0
Improving the Quality of Tomographic Images of a Medium Using Irradiation with Pulses of Different Duration	0
Trajectory of an Observer Tracking Object Motion around Convex Obstacles in $${{\mathbb{R}}^{2}}$$ and $${{\mathbb{R}}^{3}}$$	0
Continued Fractions in Hyperelliptic Fields with an Arbitrarily Long Period	0
Trusted Artificial Intelligence: Challenges and Promising Solutions	0
Real-Valued Spectral Shift Functions for Contractions and Dissipative Operators	0