Doklady Mathematics

Article	Citations
Two-Colorings of Normed Spaces with No Long Monochromatic Unit Arithmetic Progressions	107
WKB Method for Nonlinear Equations of Emden–Fowler Type	25
On Procedures for Testing the Equivalence of Distribution Tails	16
Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium	14
On Asymptotics of Attractors of the Navier–Stokes System in Anisotropic Medium with Small Periodic Obstacles	13
On Analogues of Herbrand’s and Harrop’s Theorems for the Joint Logic of Problems and Propositions QHC	11
On Solvability of a Pursuit Game with Nonlinear Dynamics in Hilbert Space	10
Scheduling in Multiagent Systems Using Reinforcement Learning	9
Search for Optimal Architecture of Physics-Informed Neural Networks Using Differential Evolution Algorithm	9
On the Determinism of Paths on Substitution Complexes	8
Quasi-Normal Forms in the Problem of Vibrations of Pedestrian Bridges	8
Individual Stability of Pareto Equilibrium of Threats and Counterthreats in a Coalition Differential Game without Side Payments	8
One-Armed Bandit Problem and the Mirror Descent Algorithm	7
A Note on Borsuk’s Problem in Minkowski Spaces	7
Invariants of Seventh-Order Homogeneous Dynamical Systems with Dissipation	7
On Tautochronic Motions	6
Semiproducts, Products, and Modal Predicate Logics: Some Examples	6
The Software System LingvoDoc and the Possibilities It Offers for Documentation and Analysis of Ob-Ugric Languages	6
Optimization of Oscillations of Mechanical Systems	6
To Birman–Krein–Vishik Theory	6
On the Behavior of Solutions of the Prandtl System for a Ladyzhenskaya Viscous MHD Medium in the Flow through a Confuser	6
Weakly Singular Steklov Condition in the Multidimensional Case	5
Integral Estimates of Derivatives of Rational Functions in Hölder Domains	5
Perron’s Method in the Dirichlet Problem for the Soft Laplacian on a Stratified Set	5
On Tests to Distinguish Distribution Tails Invariant with Respect to the Scale Parameter	5

TOMMANO—Virtualised Network Functions Management in Cloud Environment based on the TOSCA Standard	5
Mathematics of Accelerated Expansion of the Universe and Lobachevsky Space	5
Connectedness of Prym Eigenform Loci in Genus 5	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
1-Dimensional Topological Invariants to Estimate Loss Surface Non-Convexity	4
Intransitively Winning Chess Players’ Positions	4
Deriving Hydrodynamic Equations for a Hamiltonian “Field–Lattice” System	4
On the Structure of Laplacian Characteristic Polynomial of Circulant Graphs	4
Estimate for the Domain of Univalence in the Class of Holomorphic Self-Maps of a Disk with Two Boundary Fixed Points	4
Tensor Invariants of Geodesic, Potential, and Dissipative Systems on Tangent Bundles of Two-Dimensional Manifolds	4
Geometric Deep Learning for Design of Catalysts and Molecules	4
eco4cast: Bridging Predictive Scheduling and Cloud Computing for Reduction of Carbon Emissions for ML Models Training	4
Loss Function Dynamics and Landscape for Deep Neural Networks Trained with Quadratic Loss	4
Dynamics of Systems with Unilateral Differential Constraints	4
Extremum Conditions for Constrained Scalar Control of Two Nonsynchronous Oscillators in the Time-Optimal Control Problem	4
An Inverse Problem for a Semilinear Wave Equation	4
On Stabilization of an Explicit Difference Scheme for a Nonlinear Parabolic Equation	4
Construction of an Artificial Neural Network for Solving the Incompressible Navier–Stokes Equations	4
Accounting for Phase Limitations During Intense Acceleration of a Mobile Robot and Its Motion in Drift Mode	4
ESGify: Automated Classification of Environmental, Social, and Corporate Governance Risks	4
Do we Benefit from the Categorization of the News Flow in the Stock Price Prediction Problem?	4
Introductory Words of AI Journey Team	4
Trajectory of an Observer Tracking the Motion of an Object around a Convex Set in $${{\mathbb{R}}^{3}}$$	4
On Condensations onto σ-Compact Spaces	4
An Empirical Scrutinization of Four Crisp Clustering Methods with Four Distance Metrics and One Straightforward Interpretation Rule	3
Dynamics of a System of Two Equations with a Large Delay	3
Notes on the Recurrence of Birkhoff Sums	3
Exact Estimates of Functions in Sobolev Spaces with Uniform Norm	3
On a Paradoxical Property of the Shift Mapping on an Infinite-Dimensional Tori	3
On the Zaremba Problem for Inhomogeneous p-Laplace Equation with Drift	3
Equilibrium in Secure Strategies As a Development of the Concept of Nash Equilibrium	3
Infinite Linear Independence with Constraints on a Subset of Prime Numbers for Values of Euler-Type Series with Polyadic Liouville Parameter	3
On Interpretations of Presburger Arithmetic in Büchi Arithmetics	3
On the Number of Pursuers That Guarantees the Capture of the Evader in a Game on the Graph of Icosahedral Edges	3
Generalization of the Julia–Carathéodory Theorem to the Case of Several Boundary Fixed Points	3
Construction of Smooth Source–Sink Arcs in the Space of Diffeomorphisms of a Two-Dimensional Sphere	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
Three-Level Scheme for Solving the Radiation Diffusion Equation	3
Generating Survival Interpretable Trajectories and Data	3
Asymptotic Structure of Eigenvalues and Eigenvectors of Certain Triangular Hankel Matrices	3
On Kernels of Invariant Schrödinger Operators with Point Interactions. Grinevich–Novikov Conjecture	3
Mathematical Modeling of Plasma Transport in a Helical Magnetic Field	3
Cooperative Multicriteria Dynamic Games: Application to Transportation Problems	3
On Convergence of Finite-Difference Shock-Capturing Schemes in Regions of Shock Waves Influence	3
On the Atypical Strength Anisotropy of Weakly Cemented Sandstones	3
Quotients of Severi–Brauer Surfaces	3
On Periodic Solutions of Quasilinear Parabolic Equations with Boundary Conditions of Bitsadze–Samarskii Type	3
On the Stationary Non-Equilibrium Measures for the “Field–Crystal” System	2

Rotation Functions of Integrable Billiards As Orbital Invariants	2
Erratum to: Infobusiness As a New Digital Phenomenon in the Socio-Economic Sphere of Russia: Possibilities of Modeling and Regulation	2
Computers As a Novel Mathematical Reality: III. Mersenne Numbers and Sums of Divisors	2
Existence and Relaxation of Solutions for a Differential Inclusion with Maximal Monotone Operators and Perturbations	2
Attack against Layered Defense	2
Coalition Pareto-Optimal Solution in a Nontransferable Game	2
Intermediate Asymptotics for Solutions to Equations of Emden–Fowler Type	2
Digital Ark of Knowledge	2
CRAFT: Cultural Russian-Oriented Dataset Adaptation for Focused Text-to-Image Generation	2
AI Review of Polygraph Screenings	2
Bernstein–Riemann Interpolation Formula for Arbitrary Continuous Functions on an Interval	2
Analysis of a Growth Model with a CES Production Function	2
Dynamic Models of Competition with Endogenous Network Formation: The Case of Constant Output	2
Application of the CABARET Scheme for Calculating Discontinuous Solutions of a Hyperbolic System of Conservation Laws	2
On Convergent Series Expansions for Solutions of Nonlinear Ordinary Differential Equations	2
Neural Network-Based Coronary Dominance Classification of RCA Angiograms	2
Dynamics of a System in the Presence of Invariant Relationships	2
Joint Modeling of Wave Phenomena by Applying the Grid-Characteristic Method and the Discontinuous Galerkin Method	2
Dynamics of a Chain of Logistic Equations with Delay and Antidiffusive Coupling	2
Inverse Problem for a Monoid with an Exponential Sequence of Primes	2
Bernstein Inequality for the Riesz Derivative of Fractional Order Less Than Unity of Entire Functions of Exponential Type	2
Companion Matrix for Composition of Polynomials and Its Application to Knot Theory	2
Introductory Words of AI Journey Team	2
Stack More LLM’s: Efficient Detection of Machine-Generated Texts via Perplexity Approximation	2
Mathematical Model of Thermocurrents Based on Calculation of Electrical Resistance and Thermopower As an Integral over Electron Energy	2
Computers as a Novel Mathematical Reality: I. A Personal Account	2
On a Combinatorial Application of Ultrafilter Theory: A New Construction of Triangle-Free Graphs with Arbitrarily Large Chromatic Number	2
Erratum to: Ray Statement of the Acoustic Tomography Problem	2
Generalization of the Landau and Becker–Pommerenke Inequalities	2
Incremental Learning of Topic Models for Finding Trend Topics in Scientific Publications	2
On the Spectrum of a Non-Self-Adjoint Quasiperiodic Operator	2
On the Word Fragment Length for Unambiguous Reconstruction of a Periodic Word from a Complete Multiset of Fragments of Fixed Length	2
Many-Dimensional Zaremba Problem for an Inhomogeneous p-Laplace Equation	2
On Numerical Beamforming for Acoustic Source Identification Based on Supercomputer Simulation Data	2
Dynamic Models of Competition and Cooperation in Cournot Oligopoly Taking into Account the Environmental Impact	2
Mathematical Modeling of Neo-Hookean Material Growth	2
A Stability Estimate in the Source Problem for the Radiative Transfer Equation	2
Machine Learning As a Tool to Accelerate the Search for New Materials for Metal-Ion Batteries	2
Conservativity Spectra and Joosten–Fernández Model	2
Solutions of Cooperative Differential Games with Partner Sets	2
Accessible Russian Large Language Models: Open-Source Models and Instructive Datasets for Commercial Applications	2
Aperiodical Isoperimetric Planar Homogenization with Critical Diameter: Universal Non-local Strange Term for a Dynamical Unilateral Boundary Condition	2
On Numerical Modeling of Fiber Deformation and Destruction under Impact Load	2
About Minimal Polynomial of Residual Fractions for Algebraic Irrationalities	2
On Integer Imputations of the Core of Totally Balanced Cooperative Games	1
Inversion Problem for Radon Transforms Defined on Pseudoconvex Sets	1
Optimization of Oscillations of Mechanical Systems with Friction	1
Development of Applied Solutions Based on Artificial Intelligence for Technological Security Control	1
Solvability of the Initial-Boundary Value Problem for the Kelvin–Voigt Fluid Motion Model with Variable Density	1
Uniqueness of a Probability Solution to the Kolmogorov Equation with a Diffusion Matrix Satisfying Dini’s Condition	1
Arithmetic Properties of Polyadic Integers	1
Mathematical Modeling of Overcoming the COVID-19 Pandemic and Restoring Economic Growth	1
Modal Logics with Intersection Modality	1
On Derivation of Equations of Gravitation from the Principle of Least Action, Relativistic Milne–McCrea Solutions, and Lagrange Points	1
A Model Zeta Function of the Monoid of Natural Numbers	1
Hiding Backdoors within Event Sequence Data via Poisoning Attacks	1
Mathematical Modeling of the Consumer Loan Market in Russia under Sanctions	1
On Fixed Points of Continuous Mappings Associated with Construction of Artificial Neural Networks	1
Phaseless Problem of Determination of Anisotropic Conductivity in Electrodynamic Equations	1
Digital World, Mathematics, and Education	1
Constructive Combinatorics in Elementary School Mathematics	1
Approximation Algorithms with Constant Factors for a Series of Asymmetric Routing Problems	1
Universal Representations for Well-Logging Data via Ensembling of Self-Supervised Models	1
A New Spectral Measure of Complexity and Its Capabilities for Detecting Signals in Noise	1
Hierarchical Method for Cooperative Multiagent Reinforcement Learning in Markov Decision Processes	1
Computers As a Novel Mathematical Reality: IV. The Goldbach Problem	1
Dependence of the Dynamics of a Model of Coupled Oscillators on the Number of Oscillators	1
On the Finiteness of the Set of Generalized Jacobians with Nontrivial Torsion Points over Algebraic Number Fields	1
On Linear-Quadratic Differential Games for Fractional-Order Systems	1
Sufficient Condition for Polynomial Solvability of Random 3-CNF Formulas	1
Application of Metaheuristic Algorithms for Optimization of Recloser Placement in a Power Supply System with Distributed Generation	1
Dual Formulation of the Lemma on Substitution Homomorphisms	1
Mathematical Modeling of Nonstationary Problems Related to Laser Thermochemistry of Methane in the Presence of Catalytic Nanoparticles	1
Nonstationary Venttsel Problem with VMOx Leading Coefficients	1
Brain Principles Programming	1
Artificial Intelligence in Society	1
Erratum to: Computer Experiment in Teaching Mathematics	1
Methods for Organization of Iteration Loops in Calculating Dynamic Modes of Large Circuits Based on Decomposition	1
On Kantorovich Problems with a Parameter	1
Suppression of Speckle Noise in Medical Images via Segmentation-Grouping of 3D Objects Using Sparse Contourlet Representation	1

Erratum to: Solution of the Wave Equation for the Control of an Electromagnetoelastic Transducer	1
Compactification of Spaces of Measures and Pseudocompactness	1
Multidimensional Cubature Formulas with Superpower Convergence	1
Behavior of Binomial Distribution near Its Median	1
The Work of a Mathematician As a Prefiguring of Mastering Mathematics by Students: The Role of Experiments	1
Description of Turbulent Flows Using a Kinetic Model	1
One Condition for Discreteness of the Spectrum and Compactness of the Resolvent of a Nonsectorial Sturm–Liouville Operator on a Semiaxis	1
Neural Networks for Coordination Analysis	1
Large Language Models in Cyberattacks	1
On Higher Integrability of the Gradient of Solutions to the Zaremba Problem for p-Laplace Equation	1
Zeros of Conic Functions, Fixed Points, and Coincidences	1
Method for False Extrema Localization in Global Optimization	1
Potential Game in a Parallel Transportation Network with Symmetric Externalities	1
Construction of Families of Equations to Describe Irregular Solutions in the Fermi–Pasta–Ulam Problem	1
A Generalization of the First Beurling–Malliavin Theorem	1
Polyadic Liouville Numbers	1
Arithmetic Properties of Values at Polyadic Liouville Points of Euler-Type Series with Polyadic Liouville Parameter	1
On Quantitative Assessment of Chirality: Right- and Left-Handed Geometric Objects	1
Estimates of Alexandrov’s n-Width of a Compact Set for Some Infinitely Differentiable Periodic Functions	1
FusionBrain: Research Project in Multimodal and Multitask Learning	1
Study of the Bias in Monte Carlo N-Particle Estimates for Problems with Particle Interaction	1
Thermal Explosion As a Resonance of the Combustion Process	1
On Thermal Boundary Layer in a Viscous Non-Newtonian Medium	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
Getting over Wide Obstacles by a Multi-Legged Robot	1
Classical Problems of Rational Approximation	1
On the Concentration of Values of j-Chromatic Numbers of Random Hypergraphs	1
An Exact Quadratic Algorithm for the Shortest Tree Transformation	1
Expanded Personality As the Main Entity and Subject of Philosophical Analysis: Implications for Education	1
Erratum to: On Numerical Modeling of Fiber Deformation and Destruction under Impact Load	1
Optimization of Physics-Informed Neural Networks for Solving the Nolinear Schrödinger Equation	1
Weakly Saturated Subgraphs of Random Graphs	1
Examples of Differential Systems with Contrasting Combinations of Lyapunov, Perron, and Upper-Limit Properties	1
Ramond and Neveu–Schwarz Algebras and Narrow Lie Superalgebras	1
Operator Spectrum Transformation in Hartree–Fock and Kohn–Sham Equations	1
Neural Network Image Classifiers Informed by Factor Analyzers	1
Automated System for Analysis of OCT Retina Images Development and Testing	1
Approximation of Boundary Condition in Higher Order Grid-Characteristic Schemes	1
SciRus: Tiny and Powerful Multilingual Encoder for Scientific Texts	1
AI Methods in Control of Personalized General Education	1
SpiderNet: Fully Connected Residual Network for Fraud Detection	1
Intransitive Sets of Financial Strategies with Constant Levels	1
On the Dynamics of Systems with Two Degrees of Freedom	1
On an Approximation by Band-Limited Functions	1
On Topological Classification of Regular Denjoy Type Homeomorphisms	1
Topological Structure of the Solution Set of a Cauchy Problem for Fractional Differential Inclusions with an Upper Semicontinuous Right-Hand Side	1
Exact Solutions and Reductions of the Nonlinear Schrödinger Equation of General Form	1
Simple Pursuit Problem with Phase Constraints of Two Coordinated Evaders on Time Scales	1
Erratum to: The Software System LingvoDoc and the Possibilities It Offers for Documentation and Analysis of Ob-Ugric Languages	1
On the Strong Chromatic Number of Random Hypergraphs	1
Vandermonde Matrix in the General Case	1