Doklady Mathematics

Article	Citations
A Note on Borsuk’s Problem in Minkowski Spaces	171
On Tautochronic Motions	34
Invariants of Seventh-Order Homogeneous Dynamical Systems with Dissipation	21
One-Armed Bandit Problem and the Mirror Descent Algorithm	13
On Asymptotics of Attractors of the Navier–Stokes System in Anisotropic Medium with Small Periodic Obstacles	12
Scheduling in Multiagent Systems Using Reinforcement Learning	11
Quasi-Normal Forms in the Problem of Vibrations of Pedestrian Bridges	11
Two-Colorings of Normed Spaces with No Long Monochromatic Unit Arithmetic Progressions	11
On Procedures for Testing the Equivalence of Distribution Tails	10
Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium	10
Search for Optimal Architecture of Physics-Informed Neural Networks Using Differential Evolution Algorithm	10
Individual Stability of Pareto Equilibrium of Threats and Counterthreats in a Coalition Differential Game without Side Payments	9
On Solvability of a Pursuit Game with Nonlinear Dynamics in Hilbert Space	9
On Analogues of Herbrand’s and Harrop’s Theorems for the Joint Logic of Problems and Propositions QHC	9
Where Semantics Meets Space: A Layer-Wise Analysis of Frozen Encoders for Efficient Polyp Segmentation	7
ExtraSAGA: Variance Reduction Hybrid Method for Variational Inequalities	7
Mathematics of Accelerated Expansion of the Universe and Lobachevsky Space	7
On the Determinism of Paths on Substitution Complexes	7
Enhancing Time-Series Modeling with Stochastic Differential Equation Discovery: An Evolutionary Approach	7
Scene Graph Forecasting Using Neural Network-Based Methods	7
Theoretically Justified Contrastive Self-Supervised Methods for Continuous Dependent Data	6
Semiproducts, Products, and Modal Predicate Logics: Some Examples	6
Intransitively Winning Chess Players’ Positions	6
Integral Estimates of Derivatives of Rational Functions in Hölder Domains	6
To Birman–Krein–Vishik Theory	6

eco4cast: Bridging Predictive Scheduling and Cloud Computing for Reduction of Carbon Emissions for ML Models Training	6
Mind and Motion Aligned: A Joint Evaluation IsaacSim Benchmark for Task Planning and Low-Level Policies in Mobile Manipulation	6
Deriving Hydrodynamic Equations for a Hamiltonian “Field–Lattice” System	6
Perron’s Method in the Dirichlet Problem for the Soft Laplacian on a Stratified Set	6
Onboard Instance Segmentation of Railway Infrastructure and Obstacles for Autonomous Train Systems	6
ESGify: Automated Classification of Environmental, Social, and Corporate Governance Risks	6
1-Dimensional Topological Invariants to Estimate Loss Surface Non-Convexity	6
Accounting for Phase Limitations During Intense Acceleration of a Mobile Robot and Its Motion in Drift Mode	6
TOMMANO—Virtualised Network Functions Management in Cloud Environment based on the TOSCA Standard	5
Loss Function Dynamics and Landscape for Deep Neural Networks Trained with Quadratic Loss	5
Construction of an Artificial Neural Network for Solving the Incompressible Navier–Stokes Equations	5
Dynamics of Systems with Unilateral Differential Constraints	5
Asymmetric Dynamic Resource Management Problem with Different Regimes	5
Opinion Formation in the Presence of Hidden Internal Opinions and Possibility of Influencing Them	5
On Optimal Rotation of a Rigid Body by Applying Internal Forces	5
The Price of Anarchy in the Congestion Game with Flow Constraints	5
Do we Benefit from the Categorization of the News Flow in the Stock Price Prediction Problem?	5
NP-Completeness of Hanabi Game with Minimal Parameters	5
Introductory Words of AI Journey Team	5
Connectedness of Prym Eigenform Loci in Genus 5	5
On the Structure of Laplacian Characteristic Polynomial of Circulant Graphs	5
Estimate for the Domain of Univalence in the Class of Holomorphic Self-Maps of a Disk with Two Boundary Fixed Points	5
On One Differential Game with Payoff Functions of the Germeier Convolution Type	5
Exact Estimates of Functions in Sobolev Spaces with Uniform Norm	4
Upper Bound for the Competitive Facility Location Problem with Demand Uncertainty	4
Geometric Deep Learning for Design of Catalysts and Molecules	4
Construction of Smooth Source–Sink Arcs in the Space of Diffeomorphisms of a Two-Dimensional Sphere	4
On a Paradoxical Property of the Shift Mapping on an Infinite-Dimensional Tori	4
Pairwise Image Matching for Plagiarism Detection	4
On Kernels of Invariant Schrödinger Operators with Point Interactions. Grinevich–Novikov Conjecture	4
On Basic Mathematical Definitions of Digital Technologies and Artificial Intelligence	4
Mathematical Modeling of Plasma Transport in a Helical Magnetic Field	4
On Condensations onto σ-Compact Spaces	4
Automation of Input Control of Transistors Using Deep Learning Models and Analysis of Their Latent Space	4
On Stabilization of an Explicit Difference Scheme for a Nonlinear Parabolic Equation	4
Extremum Conditions for Constrained Scalar Control of Two Nonsynchronous Oscillators in the Time-Optimal Control Problem	4
Generating Survival Interpretable Trajectories and Data	4
Cooperative Multicriteria Dynamic Games: Application to Transportation Problems	4
Generalization of the Julia–Carathéodory Theorem to the Case of Several Boundary Fixed Points	4
Notes on the Recurrence of Birkhoff Sums	4
Equilibrium in Secure Strategies As a Development of the Concept of Nash Equilibrium	4
eco2AI: Carbon Emissions Tracking of Machine Learning Models as the First Step Towards Sustainable AI	4
Ruadapt: Cost-Effective Large Language Model Lingual Adaptation	4
On the Zaremba Problem for Inhomogeneous p-Laplace Equation with Drift	4
Infinite Linear Independence with Constraints on a Subset of Prime Numbers for Values of Euler-Type Series with Polyadic Liouville Parameter	4
Loss Barcode: A Topological Measure of Escapability in Loss Landscapes	4
Three-Level Scheme for Solving the Radiation Diffusion Equation	4
On the Atypical Strength Anisotropy of Weakly Cemented Sandstones	4
New Formulas for the Inversion of the Radon Transform	4
Employing Synthetic Canopy Height Model Data to Enhance Tree Identification in High-Resolution Satellite Imagery	3

Dynamics of a System of Two Equations with a Large Delay	3
Joint Modeling of Wave Phenomena by Applying the Grid-Characteristic Method and the Discontinuous Galerkin Method	3
Intermediate Asymptotics for Solutions to Equations of Emden–Fowler Type	3
Computers as a Novel Mathematical Reality: I. A Personal Account	3
Conflict Triangles and Hexamatrix Games	3
Dynamics of a System in the Presence of Invariant Relationships	3
CRAFT: Cultural Russian-Oriented Dataset Adaptation for Focused Text-to-Image Generation	3
Generating Russian-Language Image Descriptions in Both Formal and Conversational Styles via a Neural-Network Ensemble	3
An Empirical Scrutinization of Four Crisp Clustering Methods with Four Distance Metrics and One Straightforward Interpretation Rule	3
On Numerical Beamforming for Acoustic Source Identification Based on Supercomputer Simulation Data	3
On the Number of Pursuers That Guarantees the Capture of the Evader in a Game on the Graph of Icosahedral Edges	3
Attack against Layered Defense	3
Accessible Russian Large Language Models: Open-Source Models and Instructive Datasets for Commercial Applications	3
Computers As a Novel Mathematical Reality: III. Mersenne Numbers and Sums of Divisors	3
On a Combinatorial Application of Ultrafilter Theory: A New Construction of Triangle-Free Graphs with Arbitrarily Large Chromatic Number	3
Companion Matrix for Composition of Polynomials and Its Application to Knot Theory	3
Neural Network-Based Coronary Dominance Classification of RCA Angiograms	3
Discriminative Lemmatization of Abbreviations in the Era of LLMs	3
Aperiodical Isoperimetric Planar Homogenization with Critical Diameter: Universal Non-local Strange Term for a Dynamical Unilateral Boundary Condition	3
Harsanyi Extensions and the Cores of Almost Positive Games	3
Existence and Relaxation of Solutions for a Differential Inclusion with Maximal Monotone Operators and Perturbations	3
On Interpretations of Presburger Arithmetic in Büchi Arithmetics	3
Inverse Problem for a Monoid with an Exponential Sequence of Primes	3
Asymptotic Structure of Eigenvalues and Eigenvectors of Certain Triangular Hankel Matrices	3
Rotation Functions of Integrable Billiards As Orbital Invariants	3
Stack More LLM’s: Efficient Detection of Machine-Generated Texts via Perplexity Approximation	3
Machine Learning As a Tool to Accelerate the Search for New Materials for Metal-Ion Batteries	3
Introductory Words of AI Journey Team	3
Coalition Pareto-Optimal Solution in a Nontransferable Game	3
Solutions of Cooperative Differential Games with Partner Sets	3
Analysis of a Growth Model with a CES Production Function	3
Dynamic Models of Competition with Endogenous Network Formation: The Case of Constant Output	3
Bernstein Inequality for the Riesz Derivative of Fractional Order Less Than Unity of Entire Functions of Exponential Type	3
Bernstein–Riemann Interpolation Formula for Arbitrary Continuous Functions on an Interval	3
An Exact Quadratic Algorithm for the Shortest Tree Transformation	2
Ramond and Neveu–Schwarz Algebras and Narrow Lie Superalgebras	2
Solvability of the Initial-Boundary Value Problem for the Kelvin–Voigt Fluid Motion Model with Variable Density	2
Constructive Combinatorics in Elementary School Mathematics	2
On Kantorovich Problems with a Parameter	2
Multidimensional Cubature Formulas with Superpower Convergence	2
SpiderNet: Fully Connected Residual Network for Fraud Detection	2
Study of Computational Complexity of an Algorithm for Finding the Traffic Flow Wardrop Equilibrium	2
Automated System for Analysis of OCT Retina Images Development and Testing	2
The Work of a Mathematician As a Prefiguring of Mastering Mathematics by Students: The Role of Experiments	2
Modeling of Thermal Protection Based on Anisotropic Materials with a High Degree of Anisotropy	2
Erratum to: On Numerical Modeling of Fiber Deformation and Destruction under Impact Load	2
Incremental Learning of Topic Models for Finding Trend Topics in Scientific Publications	2
On an Approximation by Band-Limited Functions	2
Erratum to: Infobusiness As a New Digital Phenomenon in the Socio-Economic Sphere of Russia: Possibilities of Modeling and Regulation	2
AI Review of Polygraph Screenings	2
On Derivation of Equations of Gravitation from the Principle of Least Action, Relativistic Milne–McCrea Solutions, and Lagrange Points	2
FusionBrain: Research Project in Multimodal and Multitask Learning	2
Large Language Models in Cyberattacks	2
Cluster Validity across Attribute and Network Spaces: Empirical Benchmarks for Attributed Networks Clustering	2
Hiding Backdoors within Event Sequence Data via Poisoning Attacks	2
Mathematical Modeling of Nonstationary Problems Related to Laser Thermochemistry of Methane in the Presence of Catalytic Nanoparticles	2
A New Spectral Measure of Complexity and Its Capabilities for Detecting Signals in Noise	2
Approximation Algorithms with Constant Factors for a Series of Asymmetric Routing Problems	2
Inversion Problem for Radon Transforms Defined on Pseudoconvex Sets	2
About Minimal Polynomial of Residual Fractions for Algebraic Irrationalities	2
Uniqueness and Explicit Solutions of a Mixed-Type Equation in the de Gennes Model	2
Error Bounds for Integro Quadratic Spline Interpolation in the Mean and Superconvergence Points	2
Optimization of Physics-Informed Neural Networks for Solving the Nolinear Schrödinger Equation	2
A Stability Estimate in the Source Problem for the Radiative Transfer Equation	2
Sufficient Condition for Polynomial Solvability of Random 3-CNF Formulas	2
On the Stationary Non-Equilibrium Measures for the “Field–Crystal” System	2
Erratum to: Ray Statement of the Acoustic Tomography Problem	2
Neural Networks for Coordination Analysis	2
Arithmetic Properties of Values at Polyadic Liouville Points of Euler-Type Series with Polyadic Liouville Parameter	2
Modal Logics with Intersection Modality	2
Generalization of the Landau and Becker–Pommerenke Inequalities	2
Artificial Intelligence in Society	2
A Model Zeta Function of the Monoid of Natural Numbers	2
Arithmetic Properties of Polyadic Integers	2
Operator Spectrum Transformation in Hartree–Fock and Kohn–Sham Equations	2
Weakly Saturated Subgraphs of Random Graphs	2
Method for False Extrema Localization in Global Optimization	2
AI Methods in Control of Personalized General Education	2
Approximation of Boundary Condition in Higher Order Grid-Characteristic Schemes	2
Conservativity Spectra and Joosten–Fernández Model	2

Description of Turbulent Flows Using a Kinetic Model	2
Many-Dimensional Zaremba Problem for an Inhomogeneous p-Laplace Equation	2
Exact Solutions and Reductions of the Nonlinear Schrödinger Equation of General Form	2
Digital Ark of Knowledge	2
Dynamic Models of Competition and Cooperation in Cournot Oligopoly Taking into Account the Environmental Impact	2
Mathematical Model of Thermocurrents Based on Calculation of Electrical Resistance and Thermopower As an Integral over Electron Energy	2
Zeros of Conic Functions, Fixed Points, and Coincidences	2
Asymptotics for Eigenvalues of Schrödinger Operator with Small Translation and Dirichlet Condition	1
Universal Representations for Well-Logging Data via Ensembling of Self-Supervised Models	1
Generalized Solution of a Mixed Problem for the Wave Equation with a Nonsmooth Right-Hand Side	1
On Energy Integrals of a Mixed Problem for a B-Hyperbolic Equation	1
About One Differential Game on Hypergraph	1
SciRus: Tiny and Powerful Multilingual Encoder for Scientific Texts	1
Suppression of Speckle Noise in Medical Images via Segmentation-Grouping of 3D Objects Using Sparse Contourlet Representation	1
Solving Differential Equations with Pretrained Out-of-the-Box Models: The Potential of Small-Scale LLMs	1
Partial Sums of Zero-Sum Games and Their Applications	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
The Problem of the Flow of One Type of Non-Newtonian Fluid through the Boundary of a Multiply Connected Domain	1
Examples of Differential Systems with Contrasting Combinations of Lyapunov, Perron, and Upper-Limit Properties	1
Potential Game in a Parallel Transportation Network with Symmetric Externalities	1
Enhancing fMRI Data Decoding with Spatiotemporal Characteristics in Limited Dataset	1
One Condition for Discreteness of the Spectrum and Compactness of the Resolvent of a Nonsectorial Sturm–Liouville Operator on a Semiaxis	1
Adaptive Control for Two-Agent Opinion Dynamics under Uncertainty	1
Review of Multimodal Environments for Reinforcement Learning	1
On the Sizes of k-Subgraphs of the Binomial Random Graph	1
On Nonlinear Kloosterman Sums	1
Estimates of Alexandrov’s n-Width of a Compact Set for Some Infinitely Differentiable Periodic Functions	1
Nonlocal Problems with Generalized Samarskii–Ionkin Condition for Some Classes of Nonstationary Differential Equations	1
Refined Mathematical Model of Economic Dynamics under High Inflation and Unstable Development	1
Digital World, Mathematics, and Education	1
Integro-Differential Equation with a Sum-Difference Kernels and Power Nonlinearity	1
Solution of the Multimode Nonlinear Schrödinger Equation Using Physics-Informed Neural Networks	1
Classical Problems of Rational Approximation	1
On Undecidability of Subset Theories of Some Unars	1
Bicompact Schemes for Compressible Navier–Stokes Equations	1
Comparative Study of Optimization Models for Conceptual Aircraft Design under Uncertainty	1
On the Orbital Stability of Pendulum Motions of a Rigid Body in the Hess Case	1
Vandermonde Matrix in the General Case	1
Invariant Volume Forms of Geodesic, Potential, and Dissipative Systems on a Tangent Bundle of a Four-Dimensional Manifold	1
Computers As a Novel Mathematical Reality: IV. The Goldbach Problem	1
An Example of Two Level Cooperation for Differential Game with Pairwise Interactions in Pollution Control Problems	1
Algorithmic Properties of Basic Categorial Grammars with Unique Category Assignment	1
Equilibria in a Dynamic Model of Coordination of Two Firms with Nonfixed Prices	1
On Certain Spanning Subgraphs of Random Graphs	1
Erratum to: Correct Solvability of Integrodifferential Equations in Spaces of Vector Functions Holomorphic in an Angular Domain	1
Hierarchical Method for Cooperative Multiagent Reinforcement Learning in Markov Decision Processes	1
Simple Pursuit Problem with Phase Constraints of Two Coordinated Evaders on Time Scales	1
Railway Infrastructure Detection Based on YOLOv8 with NPU Acceleration	1
Getting over Wide Obstacles by a Multi-Legged Robot	1
Evaluating the Effectiveness of Large Language Models in Identifying Communicatively Significant Errors in Papers of Students Learning Russian as a Foreign Language	1
Expanded Personality As the Main Entity and Subject of Philosophical Analysis: Implications for Education	1
Erratum to: The Software System LingvoDoc and the Possibilities It Offers for Documentation and Analysis of Ob-Ugric Languages	1
Common Digital Space of Scientific Knowledge as an Integrator of Polythematic Information Resources	1
Mathematical Modeling of Overcoming the COVID-19 Pandemic and Restoring Economic Growth	1
Dual Formulation of the Lemma on Substitution Homomorphisms	1
On the Concentration of Values of j-Chromatic Numbers of Random Hypergraphs	1
Brain Principles Programming	1
MDS-ViTNet: Improving Saliency Prediction for Eye-Tracking with Vision Transformer	1
Game Problem of Target Approach for a Nonlinear Control System	1
On the Finiteness of the Set of Generalized Jacobians with Nontrivial Torsion Points over Algebraic Number Fields	1
Erratum to: Several Articles in Doklady Mathematics	1
One-Dimensional Finite-Gap Schrödinger Operators As a Limit of Commuting Difference Operators	1
Compactification of Spaces of Measures and Pseudocompactness	1
New Cases of Integrable Ninth-Order Conservative and Dissipative Dynamical Systems	1
A Comparative Analysis of Sustainable Exploitation of Renewable Resources for Different Information Structures	1
On Topological Classification of Regular Denjoy Type Homeomorphisms	1
Binary Orlicz Spaces	1
Erratum to: Computer Experiment in Teaching Mathematics	1
Digital Stabilization of a Switched Linear System with Commensurate Delays	1
A Generalization of the First Beurling–Malliavin Theorem	1
Ontologies As a Foundation for Formalization of Scientific Information and Extraction of New Knowledge	1
On Quantitative Assessment of Chirality: Right- and Left-Handed Geometric Objects	1
Bruhat Numbers of a Strong Morse Function	1
Intransitive Sets of Financial Strategies with Constant Levels	1
Regularized Equations for Dynamics of the Heterogeneous Binary Mixtures of the Noble-Abel Stiffened-Gases and Their Application	1
Neural Network Image Classifiers Informed by Factor Analyzers	1
Nonstationary Venttsel Problem with VMOx Leading Coefficients	1
Beyond Familiar Domains: A Study of the Generalization Ability of Machine-Generated Image Detectors	1
Thermal Explosion As a Resonance of the Combustion Process	1
Statistical Online Learning in Recurrent and Feedforward Quantum Neural Networks	1
Development of Applied Solutions Based on Artificial Intelligence for Technological Security Control	1
On Integer Imputations of the Core of Totally Balanced Cooperative Games	1
Infobusiness As a New Digital Phenomenon in the Socio-Economic Sphere of Russia: Possibilities of Modeling and Regulation	1
Numerical Solution of Integro-Differential Equations of Viscoelasticity with Kernels of Exponential and Rabotnov Types	1
Application of Pretrained Large Language Models in Embodied Artificial Intelligence	1
Solvability Analysis of the Nonlinear Integral Equations System Arising in the Logistic Dynamics Model in the Case of Piecewise Constant Kernels	1
Optimization of Oscillations of Mechanical Systems with Friction	1
Graph Condensation for Large Factor Models	1
Conditional Cost Function and Necessary Optimality Conditions for Infinite Horizon Optimal Control Problems	1
On Linear-Quadratic Differential Games for Fractional-Order Systems	1
On Some Number Theoretic Sum	1
Computers As a Novel Mathematical Reality: II. Waring’s Problem	1
Erratum to: Solution of the Wave Equation for the Control of an Electromagnetoelastic Transducer	1
Productive Education in Mathematical Schools	1