Doklady Mathematics

Article	Citations
Hierarchical Method for Cooperative Multiagent Reinforcement Learning in Markov Decision Processes	62
Accessible Russian Large Language Models: Open-Source Models and Instructive Datasets for Commercial Applications	11
MTS Kion Implicit Contextualised Sequential Dataset for Movie Recommendation	10
New Cases of Integrability of Systems of Geodesics and Potential and Dissipative Systems on Tangent Bundles of Finite-Dimensional Manifolds	10
Machine Learning As a Tool to Accelerate the Search for New Materials for Metal-Ion Batteries	10
On Interpretations of Presburger Arithmetic in Büchi Arithmetics	10
Equilibria in a Dynamic Model of Coordination of Two Firms with Nonfixed Prices	9
A Generalization of the First Beurling–Malliavin Theorem	9
Simple Pursuit Problem with Phase Constraints of Two Coordinated Evaders on Time Scales	9
Solutions of Cooperative Differential Games with Partner Sets	9
Trajectory of an Observer Tracking Object Motion around Convex Obstacles in $${{\mathbb{R}}^{2}}$$ and $${{\mathbb{R}}^{3}}$$	8
Intermediate Asymptotics for Solutions to Equations of Emden–Fowler Type	7
P-Factor Interpolation of Solutions of an Equation with a Degenerate Function	7
Ontologies As a Foundation for Formalization of Scientific Information and Extraction of New Knowledge	7
Approximate Gyroscope Theory and Its Applications to the Motion of Space Objects	7
AI-Based Ethics Index of Russian Banks	7
Limiting Characteristics of Queueing Systems with Vanishing Perturbations	6
Three Infinite Families of Shilla Graphs Do Not Exist	6
Sub-Riemannian Cartan Sphere	6
On the 4-Spectrum of First-Order Properties of Random Graphs	6
On the Dynamics of Systems with Two Degrees of Freedom	5
Two-Colorings of Normed Spaces with No Long Monochromatic Unit Arithmetic Progressions	5
On Topological Classification of Regular Denjoy Type Homeomorphisms	5
Estimate of the Number of Edges in Subgraphs of a Johnson Graph	5
Arithmetic Properties of the Values of Generalized Hypergeometric Series with Polyadic Transcendental Parameters	5

WKB Method for Nonlinear Equations of Emden–Fowler Type	5
Proof of Stability in the Brower–Paul Problem	4
Computers as a Novel Mathematical Reality: I. A Personal Account	4
Real-Valued Spectral Shift Functions for Contractions and Dissipative Operators	4
Construction of Families of Equations to Describe Irregular Solutions in the Fermi–Pasta–Ulam Problem	4
On the Stability of Strict Equilibrium of Plasma in Two-Dimensional Mathematical Models of Magnetic Traps	4
On the Homogenization of an Optimal Control Problem in a Domain Perforated by Holes of Critical Size and Arbitrary Shape	3
Scheduling in Multiagent Systems Using Reinforcement Learning	3
On One Approach to the Estimation of a Triangular Element Degeneration in a Triangulation	3
On Procedures for Testing the Equivalence of Distribution Tails	3
Improving the Quality of Tomographic Images of a Medium Using Irradiation with Pulses of Different Duration	3
Bernstein–Riemann Interpolation Formula for Arbitrary Continuous Functions on an Interval	3
Representations of Solutions for Volterra Integro-Differential Equations in Hilbert Spaces	3
Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium	3
Nonstationary Venttsel Problem with VMOx Leading Coefficients	3
Asymptotic Structure of Eigenvalues and Eigenvectors of Certain Triangular Hankel Matrices	3
Statistical Online Learning in Recurrent and Feedforward Quantum Neural Networks	3
On Elementary Theory of Completion of Solvable Baumslag–Solitar Group	3
On Fixed Points of Continuous Mappings Associated with Construction of Artificial Neural Networks	3
On Barenblatt–Zeldovich Intermediate Asymptotics	3
Periodicity Criterion for Continued Fractions of Key Elements in Hyperelliptic Fields	3
On the Existence and Estimates of Inverse Functions in the Degenerate Case	3
New Problems in the Theory of Transcendental Polyadic Numbers	3
On Asymptotics of Attractors of the Navier–Stokes System in Anisotropic Medium with Small Periodic Obstacles	3
Sub-Riemannian Engel Sphere	3
On Periodic Solutions of Quasilinear Parabolic Equations with Boundary Conditions of Bitsadze–Samarskii Type	3
On Quantitative Assessment of Chirality: Right- and Left-Handed Geometric Objects	3
On Analogues of Herbrand’s and Harrop’s Theorems for the Joint Logic of Problems and Propositions QHC	3
SciRus: Tiny and Powerful Multilingual Encoder for Scientific Texts	2
Search for Optimal Architecture of Physics-Informed Neural Networks Using Differential Evolution Algorithm	2
On an Invariant of Pure Braids	2
Behavior of Binomial Distribution near Its Median	2
Erratum to: Computer Experiment in Teaching Mathematics	2
CRAFT: Cultural Russian-Oriented Dataset Adaptation for Focused Text-to-Image Generation	2
Mathematical Modeling of Melting Tungsten Exposed to Pulsed Laser Beam	2
Continued Fractions in Hyperelliptic Fields with an Arbitrarily Long Period	2
Principle of Dynamic Balance of Demographic Process and the Limits of World Population Growth	2
Computers As a Novel Mathematical Reality: IV. The Goldbach Problem	2
Invariants of Seventh-Order Homogeneous Dynamical Systems with Dissipation	2
Conditions for Dissipativity of an Explicit Finite-Difference Scheme for a Linearized Multidimensional Quasi-Gasdynamic System of Equations	2
Universal Representations for Well-Logging Data via Ensembling of Self-Supervised Models	2
RuSciBench: Open Benchmark for Russian and English Scientific Document Representations	2
An Empirical Scrutinization of Four Crisp Clustering Methods with Four Distance Metrics and One Straightforward Interpretation Rule	2
On Reconstruction of Kolmogorov Operators with Discontinuous Coefficients	2
The Software System LingvoDoc and the Possibilities It Offers for Documentation and Analysis of Ob-Ugric Languages	2
Erratum to: Expanded Personality as the Main Entity and Subject of Philosophical Analysis: Implications for Education	2
Classical Solutions of Hyperbolic Equations with Nonlocal Potentials	2
A Note on Borsuk’s Problem in Minkowski Spaces	2
Axiomatic Definition of Small Cancellation Rings	2
Dynamics of a System of Two Equations with a Large Delay	2

On Second-Order Parabolic and Hyperbolic Perturbations of a First-Order Hyperbolic System	2
Optimization of Oscillations of Mechanical Systems with Friction	2
Quasi-Normal Forms in the Problem of Vibrations of Pedestrian Bridges	2
Stratified Statistical Models in Hardware Reliability Analysis	2
Digital World, Mathematics, and Education	2
Deep Learning-Driven Approach for Handwritten Chinese Character Classification	2
On Tautochronic Motions	2
Machine Learning to Control Network Powered by Computing Infrastructure	2
Erratum to: On Thermal Boundary Layer in a Viscous Non-Newtonian Medium	2
Study of Volterra Integro-Differential Equations by Methods of Semigroup Theory	2
Mathematical Elements of Elementary Education	2
Foundations of Mathematical Education in the Digital Age	2
On Polyadic Liouville Numbers	2
On Subspaces of an Orlicz Space Spanned by Independent Identically Distributed Functions	2
Invariant Volume Forms of Variable Dissipation Systems with Three Degrees of Freedom	2
Existence and Stability of Equilibrium Solutions of the Vlasov Equation with a Modified Gravitational Potential	1
Boundedness and Compactness of the Two-Dimensional Rectangular Hardy Operator	1
The Skies Are Falling: Mathematics for Non-Mathematicians	1
On the Behavior of Solutions of the Prandtl System for a Ladyzhenskaya Viscous MHD Medium in the Flow through a Confuser	1
Rotation Functions of Integrable Billiards As Orbital Invariants	1
On the Construction of Regularized Equations of Motion for a Mixture of Viscous Incompressible Fluids	1
Addition to the Article “A New Spectral Measure of Complexity and Its Capabilities for Detecting Signals in Noise”	1
Optimal Trajectory of an Observer Tracking the Motion of an Object Equipped with a Striking Device	1
On the Word Fragment Length for Unambiguous Reconstruction of a Periodic Word from a Complete Multiset of Fragments of Fixed Length	1
Intelligent Technologies for Digital Transformation of Industrial Production	1
On Numerical Beamforming for Acoustic Source Identification Based on Supercomputer Simulation Data	1
Estimation of Weighted Kloosterman Sums with the Help of Additive Shift	1
Semiproducts, Products, and Modal Predicate Logics: Some Examples	1
Stack More LLM’s: Efficient Detection of Machine-Generated Texts via Perplexity Approximation	1
On the Accuracy of Calculating Invariants in Centered Rarefaction Waves and in Their Influence Area	1
Refinement of Optimal Control Problem for Practical Implementation of Its Solution	1
Intransitive Sets of Financial Strategies with Constant Levels	1
Symplectic Geometry of the Koopman Operator	1
Potential Game in a Parallel Transportation Network with Symmetric Externalities	1
Brain Principles Programming	1
Invariant Forms of Geodesic, Potential, and Dissipative Systems on Tangent Bundles of Finite-Dimensional Manifolds	1
Two Epidemic Models of Malaria and Their Practical Applications	1
On the Integral Convergence of Numerical Schemes Calculating Gas-Dynamic Shock Waves	1
Potential in Congestion Game with Different Types of Vehicles	1
On Fundamental S-Units and Continued Fractions Constructed in Hyperelliptic Fields Using Two Linear Valuations	1
Barcodes as Summary of Loss Function Topology	1
The Lattice of Definability: Origins, Recent Developments, and Further Directions	1
Weakly Singular Steklov Condition in the Multidimensional Case	1
Simulation of Seismic Waves in Anisotropic Media	1
On Solution Existence for a Singular Nonlinear Burgers Equation with Small Parameter and p-Regularity Theory	1
On Removable Singularities of Harmonic Functions on a Stratified Set	1
Dirac Electron Free Field Anticommutator and Its Zeros on Time Intervals	1
Study of the Bias in Monte Carlo N-Particle Estimates for Problems with Particle Interaction	1
Mathematical Modeling of the Consumer Loan Market in Russia under Sanctions	1
Application of Metaheuristic Algorithms for Optimization of Recloser Placement in a Power Supply System with Distributed Generation	1
On Gaussian Transition Operators	1
Correct Solvability of Integrodifferential Equations in Spaces of Vector Functions Holomorphic in an Angular Domain	1
The Second Boundary Value Problem for Differential-Difference Equations	1
On Solvability of a Pursuit Game with Nonlinear Dynamics in Hilbert Space	1
To Birman–Krein–Vishik Theory	1
Mathematical Modeling of Neo-Hookean Material Growth	1
Computers As a Novel Mathematical Reality: III. Mersenne Numbers and Sums of Divisors	1
On the Number of Pursuers That Guarantees the Capture of the Evader in a Game on the Graph of Icosahedral Edges	1
Attack against Layered Defense	1
Integrability of a Geodesic Flow on the Intersection of Several Confocal Quadrics	1
On the Spectrum of a Non-Self-Adjoint Quasiperiodic Operator	1
Inverse Problem for a Monoid with an Exponential Sequence of Primes	1
Applications of Zvonkin’s Transform to Stationary Kolmogorov Equations	1
On the Equivalence of Singular and Ill-Posed Problems: The p-Factor Regularization Method	1
Upwind Bicompact Schemes for Hyperbolic Conservation Laws	1
Optimization of Oscillations of Mechanical Systems	1
On the Structure of the Set of Panchromatic Colorings of a Random Hypergraph	1
Joint Modeling of Wave Phenomena by Applying the Grid-Characteristic Method and the Discontinuous Galerkin Method	1
Averaged Spatial Circular Restricted Three-Body Problem: Internal Case and New Results	1
Singular Integral Operators with a Generalized Cauchy Kernel	1
Polyadic Liouville Numbers	1
A Supplement to Krasovskii’s Unification Method in Differential Game Theory	1
Individual Stability of Pareto Equilibrium of Threats and Counterthreats in a Coalition Differential Game without Side Payments	1
Neural Network Image Classifiers Informed by Factor Analyzers	1
Deforming Implicit Neural Representation Generative Adversarial Network for Unsupervised Appearence Editing	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
Maximum Induced Trees in Sparse Random Graphs	1
One-Armed Bandit Problem and the Mirror Descent Algorithm	1
On the Accuracy of Discontinuous Galerkin Method Calculating Gas-Dynamic Shock Waves	1
Dynamic Models of Competition with Endogenous Network Formation: The Case of Constant Output	1

On Higher Integrability of the Gradient of Solutions to the Zaremba Problem for p-Laplace Equation	1
On the Finiteness of the Set of Generalized Jacobians with Nontrivial Torsion Points over Algebraic Number Fields	1
Correct Solvability and Exponential Stability for Solutions of Volterra Integro-Differential Equations	1
New Correlative Randomized Algorithm for Estimating the Influence of the Medium Stochasticity on Particle Transport	1
Asymptotics for Eigenvalues of Schrödinger Operator with Small Translation and Dirichlet Condition	0
Operator Estimates for the Steklov Problem in an Unbounded Domain with Rapidly Changing Conditions on the Boundary	0
SwiftDepth++: An Efficient and Lightweight Model for Accurate Depth Estimation	0
Finding the Area and Perimeter Distributions for Flat Poisson Processes of a Straight Line and Voronoi Diagrams	0
Regularized Equations for Dynamics of the Heterogeneous Binary Mixtures of the Noble-Abel Stiffened-Gases and Their Application	0
Application of Bargaining Schemes for Equilibrium Determination in Dynamic Games	0
Solvability Analysis of the Nonlinear Integral Equations System Arising in the Logistic Dynamics Model in the Case of Piecewise Constant Kernels	0
SpiderNet: Fully Connected Residual Network for Fraud Detection	0
Computer Vision Approaches in High-Fidelity Multimedia Content Synthesis	0
Quantum Graphs with Small Edges: Holomorphy of Resolvents	0
Mathematical Structures Related to the Description of Quantum States	0
Periodic Ultradiscrete Plane Transformations	0
Environments for Automatic Curriculum Learning: A Short Survey	0
On the Bellman Function Method for Operators on Martingales	0
Polyadic Estimates for F-Series	0
The Problem of the Flow of One Type of Non-Newtonian Fluid through the Boundary of a Multiply Connected Domain	0
Invariants of Fifth-Order Homogeneous Systems with Dissipation	0
OntoMathPRO: An Ontology of Mathematical Knowledge	0
On the Problem of Describing Elements of Elliptic Fields with a Periodic Expansion into a Continued Fraction over Quadratic Fields	0
Fundamental Research and Developments in the Field of Applied Artificial Intelligence	0
Heterogeneous Computational Scheduling Using Adaptive Neural Hyper-Heuristic	0
The Work of a Mathematician As a Prefiguring of Mastering Mathematics by Students: The Role of Experiments	0
Local Marchenko–Pastur Law for Sparse Rectangular Random Matrices	0
Dependence of the Dynamics of a Model of Coupled Oscillators on the Number of Oscillators	0
Exact Estimates of Functions in Sobolev Spaces with Uniform Norm	0
Boundary Problems for Parabolic Equations with Degenerate Boundary Condition of the Third Kind	0
Conditional Cost Function and Necessary Optimality Conditions for Infinite Horizon Optimal Control Problems	0
Productive Education in Mathematical Schools	0
Semi-Analytical Solution of Brent Equations	0
On Condensations onto σ-Compact Spaces	0
On the Parallelization of the Particle Method for Hybrid Supercomputers	0
Trajectory of an Observer Tracking the Motion of an Object around a Convex Set in $${{\mathbb{R}}^{3}}$$	0
Creating New Mathematics by Schoolchildren	0
Tensor Invariants of Geodesic, Potential, and Dissipative Systems on Tangent Bundles of Two-Dimensional Manifolds	0
Nonlinear Variational Inequalities with Bilateral Constraints Coinciding on a Set of Positive Measure	0
Approximation Algorithms with Constant Factors for a Series of Asymmetric Routing Problems	0
Mathematical Modeling of 3D Dynamic Processes near a Fracture Using the Schoenberg Fracture Model	0
Common Digital Space of Scientific Knowledge as an Integrator of Polythematic Information Resources	0
Adaptive Spectral Normalization for Generative Models	0
Arithmetic Properties of Values at Polyadic Liouville Points of Euler-Type Series with Polyadic Liouville Parameter	0
Bicompact Schemes for Compressible Navier–Stokes Equations	0
ruSciBERT: A Transformer Language Model for Obtaining Semantic Embeddings of Scientific Texts in Russian	0
Taylor-Type Formulas for Arbitrary Continuous Functions on Intervals and Their Application in Control Problems for Distributed Systems	0
Weakly Saturated Subgraphs of Random Graphs	0
Prediction of Industrial Cyber Attacks Using Normalizing Flows	0
Asymptotics of the Independence Number of a Random Subgraph of the Graph G(n, r, < s)	0
On the Generalized Gardner Problem for Phase-Locked Loops in Electrical Grids	0
Geometric Deep Learning for Design of Catalysts and Molecules	0
Spectral Neural Operators	0
Machine Search Problem for Mathematical Expression	0
Approximation of Boundary Condition in Higher Order Grid-Characteristic Schemes	0
On Thermal Boundary Layer in a Viscous Non-Newtonian Medium	0
On the Maximal Cut in a Random Hypergraph	0
Dynamic Models of Competition with Endogenous Network Formation	0
A Comparative Analysis of Sustainable Exploitation of Renewable Resources for Different Information Structures	0
Properties of an Aggregated Quasi-Gasdynamic System of Equations for a Homogeneous Gas Mixture	0
On Undecidability of Subset Theories of Some Unars	0
Comparative Analysis of Numerical-Statistical Projection Algorithms for Solving Transfer Theory Problems	0
Implicit Iterative Schemes Based on Augmented Linear Systems	0
The Countable Spectrum of Weakly o-minimal Theories of Finite Convexity Rank	0
Erratum to: Correct Solvability of Integrodifferential Equations in Spaces of Vector Functions Holomorphic in an Angular Domain	0
Odd-Distance Sets and Right-Equidistant Sequences in the Maximum and Manhattan Metrics	0
Stability of Solutions to the Logistic Equation with Delay, Diffusion, and Nonclassical Boundary Conditions	0
Game Problem of Target Approach for a Nonlinear Control System	0
On Nonlinear Kloosterman Sums	0
On an Approximation by Band-Limited Functions	0
Topological Product of Modal Logics with the McKinsey Axiom	0
Random Quantization of Hamiltonian Systems	0
AI: Why Mathematics? Preface of the Editor-in-Chief of the Doklady Mathematics Journal	0
Graph Models for Contextual Intention Prediction in Dialog Systems	0
On a Strengthening of the Non-Isomorphism Theorem for Provability Algebras	0
On a Family of Complex-Valued Stochastic Processes	0
Differential Games in a Banach Space without Discrimination	0
Extremum Conditions for Constrained Scalar Control of Two Nonsynchronous Oscillators in the Time-Optimal Control Problem	0
Method for False Extrema Localization in Global Optimization	0
Comparison of the Costs of Generating Tollmien–Schlichting Waves and Optimal Disturbances by Optimal Blowing–Suction	0
Computers As a Novel Mathematical Reality: II. Waring’s Problem	0
MDS-ViTNet: Improving Saliency Prediction for Eye-Tracking with Vision Transformer	0
One-Dimensional Finite-Gap Schrödinger Operators As a Limit of Commuting Difference Operators	0
Refined Mathematical Model of Economic Dynamics under High Inflation and Unstable Development	0
Solution of the Multimode Nonlinear Schrödinger Equation Using Physics-Informed Neural Networks	0
Transcendence of p-Adic Values of Generalized Hypergeometric Series with Transcendental Polyadic Parameters	0
Optimization of Physics-Informed Neural Networks for Solving the Nolinear Schrödinger Equation	0
Zero Order Algorithm for Decentralized Optimization Problems	0
Application of the Multiscale Approach to Simulation of Air Sorbent Filtration	0
Multistage Transportation Model and Sufficient Conditions for Its Potentiality	0
Nonlocal Problems with Generalized Samarskii–Ionkin Condition for Some Classes of Nonstationary Differential Equations	0
Min-Max Optimization over Slowly Time-Varying Graphs	0
On Stabilization of an Explicit Difference Scheme for a Nonlinear Parabolic Equation	0
Upper Bound for the Competitive Facility Location Problem with Demand Uncertainty	0
Application of Pretrained Large Language Models in Embodied Artificial Intelligence	0