Doklady Mathematics

Article	Citations
eco2AI: Carbon Emissions Tracking of Machine Learning Models as the First Step Towards Sustainable AI	41
Increased Integrability of the Gradient of the Solution to the Zaremba Problem for the Poisson Equation	11
Application of a Numerical-Asymptotic Approach to the Problem of Restoring the Parameters of a Local Stationary Source of Anthropogenic Pollution	11
Random Quantization of Hamiltonian Systems	11
Force Evolutionary Billiards and Billiard Equivalence of the Euler and Lagrange Cases	10
Classical Solutions of Hyperbolic Equations with Nonlocal Potentials	10
An Inverse Problem for a Semilinear Wave Equation	10
Simulation of Seismic Waves in Anisotropic Media	10
Application of Pretrained Large Language Models in Embodied Artificial Intelligence	9
Dependence of the Dynamics of a Model of Coupled Oscillators on the Number of Oscillators	9
Uniqueness of Solutions of Initial-Boundary Value Problems for Parabolic Systems with Dini-Continuous Coefficients in Domains on the Plane	8
On the Finiteness of the Number of Expansions into a Continued Fraction of $$\sqrt f $$ for Cubic Polynomials over Algebraic Number Fields	8
Productive Education in Mathematical Schools	8
On Optimal Rotation of a Rigid Body by Applying Internal Forces	8
Many-Dimensional Zaremba Problem for an Inhomogeneous p-Laplace Equation	7
The Second Boundary Value Problem for Differential-Difference Equations	7
On the Generalized Gardner Problem for Phase-Locked Loops in Electrical Grids	7
Estimate of the Number of Edges in Subgraphs of a Johnson Graph	7
Two-Level Regression Method Using Ensembles of Trees with Optimal Divergence	6
Sub-Riemannian Engel Sphere	6
Phaseless Problem of Determination of Anisotropic Conductivity in Electrodynamic Equations	5
New Cases of Homogeneous Integrable Systems with Dissipation on Tangent Bundles of Three-Dimensional Manifolds	5
Spectral Neural Operators	5
Planning and Learning in Multi-Agent Path Finding	5
On the Existence and Structure of Universal Functions	5

Mathematical Structures Related to the Description of Quantum States	5
Hidden Boundary of Global Stability in a Counterexample to the Kapranov Conjecture on the Pull-In Range	5
Exact Solutions of Incompressible Navier–Stokes Equations in the Case of Oil and Gas Industrial Problems	5
Nonlocal Problems with Generalized Samarskii–Ionkin Condition for Some Classes of Nonstationary Differential Equations	5
One Problem of Extremal Functional Interpolation and the Favard Constants	4
On the Maximal Cut in a Random Hypergraph	4
OntoMathPRO: An Ontology of Mathematical Knowledge	4
Application of Special Function Spaces to the Study of Nonlinear Integral Equations Arising in Equilibrium Spatial Logistic Dynamics	4
On the Existence of Focus Singularities in One Model of a Lagrange Top with a Vibrating Suspension Point	4
Optimal Control and “Strange” Term Arising from Homogenization of the Poisson Equation in the Perforated Domain with the Robin-type Boundary Condition in the Critical Case	4
ruSciBERT: A Transformer Language Model for Obtaining Semantic Embeddings of Scientific Texts in Russian	4
Problem of Determining the Anisotropic Conductivity in Electrodynamic Equations	4
Invariant Volume Forms of Variable Dissipation Systems with Three Degrees of Freedom	4
On Dividing Sets into Parts of Smaller Diameter	4
Properties of an Aggregated Quasi-Gasdynamic System of Equations for a Homogeneous Gas Mixture	4
On the Period Length of a Functional Continued Fraction over a Number Field	4
Integral Estimates of Derivatives of Rational Functions in Hölder Domains	4
Uniqueness of a Probability Solution to the Kolmogorov Equation with a Diffusion Matrix Satisfying Dini’s Condition	3
Anisotropy-Based Approach to Communication Tuning for a Time-Varying Sensor Network System	3
Dynamics of a Chain of Logistic Equations with Delay and Antidiffusive Coupling	3
Optimization of Oscillations of Mechanical Systems	3
Computers as a Novel Mathematical Reality: I. A Personal Account	3
The Problem of Trajectories Avoiding a Sparse Terminal Set	3
Numerical Modeling of Acoustic Processes in Gradient Media Using the Grid-Characteristic Method	3
On a Family of Complex-Valued Stochastic Processes	3
Expanded Personality As the Main Entity and Subject of Philosophical Analysis: Implications for Education	3
Operator Spectrum Transformation in Hartree–Fock and Kohn–Sham Equations	3
Representation of Synthesizable Differentiation-Invariant Subspaces of the Schwartz Space	3
Classical Solutions of the First Boundary Value Problem for Parabolic Systems on the Plane	3
On Oscillation Properties of Self-Adjoint Boundary Value Problems of Fourth Order	3
On Kantorovich Problems with a Parameter	3
On Derivation of Equations of Electrodynamics and Gravitation from the Principle of Least Action, the Hamilton–Jacobi Method, and Cosmological Solutions	3
Quantum Graphs with Small Edges: Holomorphy of Resolvents	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
Examples of Differential Systems with Contrasting Combinations of Lyapunov, Perron, and Upper-Limit Properties	3
Analogues of Classical Goodness-of-Fit Tests for Distribution Tails	3
Stability Analysis of Artificial Ice Islands by Methods of Mathematical Modeling	3
Refinement of Optimal Control Problem for Practical Implementation of Its Solution	3
Plans’ Periodicity Theorem for Jacobian of Circulant Graphs	3
Tensor Invariants of Geodesic, Potential, and Dissipative Systems on Tangent Bundles of Two-Dimensional Manifolds	3
Bicompact Schemes for Compressible Navier–Stokes Equations	3
Modeling Formation and Removal of Limescale in Water Treatment Systems	2
Optimization Spectral Problem for the Sturm–Liouville Operator in a Vector Function Space	2
Method for Reduced Basis Discovery in Nonstationary Problems	2
Densities of distributions of homogeneous functions of Gaussian random vectors	2
On the Spectrum of a Non-Self-Adjoint Quasiperiodic Operator	2
The Work of a Mathematician As a Prefiguring of Mastering Mathematics by Students: The Role of Experiments	2
On Gaussian Transition Operators	2
Functions of Pairs of Unbounded Noncommuting Self-Adjoint Operators under Perturbation	2
New Correlative Randomized Algorithm for Estimating the Influence of the Medium Stochasticity on Particle Transport	2

Generalization of the Landau and Becker–Pommerenke Inequalities	2
Limiting Characteristics of Queueing Systems with Vanishing Perturbations	2
On Subspaces of an Orlicz Space Spanned by Independent Identically Distributed Functions	2
On Linear-Quadratic Differential Games for Fractional-Order Systems	2
Noise-Immune Communication with Orthogonal Frequency Division Multiplexing Using Kravchenko Weight Function Processing	2
Covering Planar Sets	2
Uniqueness and Existence Theorems for Solving Problems of Scattering Electromagnetic Waves by Anisotropic Bodies	2
Applications of Zvonkin’s Transform to Stationary Kolmogorov Equations	2
Invariants of Fifth-Order Homogeneous Systems with Dissipation	2
Optimal Trajectory of an Observer Tracking the Motion of an Object Equipped with a Striking Device	2
An Inverse Problem for Electrodynamic Equations with Nonlinear Conductivity	2
On Second-Order Parabolic and Hyperbolic Perturbations of a First-Order Hyperbolic System	2
New Problems in the Theory of Transcendental Polyadic Numbers	2
Improving the Quality of Tomographic Images of a Medium Using Irradiation with Pulses of Different Duration	2
The Kolmogorov Problem on Uniqueness of Probability Solutions of a Parabolic Equation	2
Digital Stabilization of a Switched Linear System with Commensurate Delays	2
Markov Approximations of the Evolution of Quantum Systems	2
On the Strong Chromatic Number of Random Hypergraphs	2
Joint Modeling of Wave Phenomena by Applying the Grid-Characteristic Method and the Discontinuous Galerkin Method	2
Randomization and Entropy in Machine Learning and Data Processing	2
Estimation of the Growth of the Degree of Nonconvexity of Reachable Sets in Terms of α-Sets	2
Artificially Generated Text Fragments Search in Academic Documents	2
Mathematical Modeling of the Consumer Loan Market in Russia under Sanctions	2
Group Structures on Algebraic Varieties	2
Mathematical Modeling of Melting Tungsten Exposed to Pulsed Laser Beam	2
Nonstationary Venttsel Problem with VMOx Leading Coefficients	2
On the Homogenization of an Optimal Control Problem in a Domain Perforated by Holes of Critical Size and Arbitrary Shape	2
On Numerical Modeling of Fiber Deformation and Destruction under Impact Load	1
Neural Network Approach to the Problem of Predicting Interest Rate Anomalies under the Influence of Correlated Noise	1
Refined Mathematical Model of Economic Dynamics under High Inflation and Unstable Development	1
New Cases of Homogeneous Integrable Systems with Dissipation on Tangent Bundles of Four-Dimensional Manifolds	1
Solvability of the Initial-Boundary Value Problem for the Kelvin–Voigt Fluid Motion Model with Variable Density	1
Geometric Deep Learning for Design of Catalysts and Molecules	1
Linear System of Differential Equations with a Quadratic Invariant as the Schrödinger Equation	1
One-Dimensional Finite-Gap Schrödinger Operators As a Limit of Commuting Difference Operators	1
On Stable Random Variables with a Complex Stability Index	1
Operator Estimates for the Steklov Problem in an Unbounded Domain with Rapidly Changing Conditions on the Boundary	1
Computer Experiment in Teaching Mathematics	1
Gradient Flows in Shape Optimization Theory	1
Estimate for the Domain of Univalence in the Class of Holomorphic Self-Maps of a Disk with Two Boundary Fixed Points	1
Boundedness and Compactness of the Two-Dimensional Rectangular Hardy Operator	1
Reachable Sets and Integral Funnels of Differential Inclusions Depending on a Parameter	1
Intelligent Technologies for Digital Transformation of Industrial Production	1
On Convergence of Finite-Difference Shock-Capturing Schemes in Regions of Shock Waves Influence	1
Deep Learning Approach to Classification of Acoustic Signals Using Information Features	1
Dynamics of a System of Two Equations with a Large Delay	1
Features of the Statistical Distribution of a Quasi-Harmonic Signal Phase	1
Application of the CABARET Scheme for Calculating Discontinuous Solutions of a Hyperbolic System of Conservation Laws	1
Asymptotic Structure of Eigenvalues and Eigenvectors of Certain Triangular Hankel Matrices	1
Quotients of Severi–Brauer Surfaces	1
Accounting for Phase Limitations During Intense Acceleration of a Mobile Robot and Its Motion in Drift Mode	1
Foundations of Mathematical Education in the Digital Age	1
One Condition for Discreteness of the Spectrum and Compactness of the Resolvent of a Nonsectorial Sturm–Liouville Operator on a Semiaxis	1
Principle of Dynamic Balance of Demographic Process and the Limits of World Population Growth	1
Extremum Conditions for Constrained Scalar Control of Two Nonsynchronous Oscillators in the Time-Optimal Control Problem	1
On the Existence of B-Root Subgroups on Affine Spherical Varieties	1
Computational Complexity of Theories of a Binary Predicate with a Small Number of Variables	1
On the Problem of Describing Elements of Elliptic Fields with a Periodic Expansion into a Continued Fraction over Quadratic Fields	1
Construction of Effective Randomized Projective Estimates for Solutions of Integral Equations Based on Legendre Polynomials	1
Identification of Nodal Points of an Elastic Inclusion in Elastic Plane	1
The Problem of the Flow of One Type of Non-Newtonian Fluid through the Boundary of a Multiply Connected Domain	1
Hybrid Grid-Characteristic Schemes for Arctic Seismic Problems	1
SpiderNet: Fully Connected Residual Network for Fraud Detection	1
Mathematical Modeling of Neo-Hookean Material Growth	1
Mathematical Modeling of Vibrational Combustion	1
On the Extremum Control Problem with Pointwise Observation for a Parabolic Equation	1
The Lattice of Definability: Origins, Recent Developments, and Further Directions	1
On Attractors of Reaction–Diffusion Equations in a Porous Orthotropic Medium	1
Correct Solvability and Exponential Stability for Solutions of Volterra Integro-Differential Equations	1
Trusted Artificial Intelligence: Challenges and Promising Solutions	1
Integrability of a Geodesic Flow on the Intersection of Several Confocal Quadrics	1
Sharp Dimension Estimates for the Attractors of the Regularized Damped Euler System	1
Mathematical Modeling of Overcoming the COVID-19 Pandemic and Restoring Economic Growth	1
On One Approach to the Estimation of a Triangular Element Degeneration in a Triangulation	1
On Stabilization of the Poisson Integral and Tikhonov–Stieltjes Means: Two-Sided Estimate	1
System of Equations for the Marangoni Boundary Layer in Media with Ladyzhenskaya Rheological Law	1
Equiconvergence of Spectral Decompositions for Sturm–Liouville Operators with a Distributional Potential in Scales of Spaces	1
On Thermal Boundary Layer in a Viscous Non-Newtonian Medium	1
Digital Ark of Knowledge	1
On Asymptotics of Attractors of the Navier–Stokes System in Anisotropic Medium with Small Periodic Obstacles	1

Hyperbolic Equation with Rapidly Oscillating Data: Reconstruction of the Small Lowest Order Coefficient and the Right-Hand Side from Partial Asymptotics of the Solution	1
System Approach to the Study of State Policies and Formation of Ethics of Application of Artificial Intelligence Technologies: Global Atlas of Regulation	1
Implicit Iterative Schemes Based on Augmented Linear Systems	1
On Implementation of Boolean Functions by Contact Circuits with a Constant Uniform Width	1
Orthogonal Elements in Nonseparable Rearrangement Invariant Spaces	1
Fundamental Research and Developments in the Field of Applied Artificial Intelligence	1
Rigidity Theorem for Self-Affine Arcs	1
Asymptotics of the Independence Number of a Random Subgraph of the Graph G(n, r, < s)	1
Suppression of Multiplicative Noise in Images via Grouping of Similar Objects	1
Mathematical Modeling of 3D Dynamic Processes near a Fracture Using the Schoenberg Fracture Model	1
Singular Integral Operators with a Generalized Cauchy Kernel	1
Approximation of Boundary Condition in Higher Order Grid-Characteristic Schemes	1
On Some Modifications of Arnold’s Cat Map	1
Semiproducts, Products, and Modal Predicate Logics: Some Examples	1
Self-Affine Tiling of Polyhedra	1
A Method of Defining Central and Gibbs Measures and the Ergodic Method	1
Adaptive Gauss–Newton Method for Solving Systems of Nonlinear Equations	1
Quasi-Normal Forms in the Problem of Vibrations of Pedestrian Bridges	1
Binary Orlicz Spaces	1
Suppression of Speckle Noise in Medical Images via Segmentation-Grouping of 3D Objects Using Sparse Contourlet Representation	1
Optimization of Oscillations of Mechanical Systems with Friction	1
On the Correct Solvability of the Dirichlet Boundary Value Problem for the Generalized Helmholtz Equation in a Strip	1
Existence of a Maximum of Time-Averaged Harvesting in the KPP Model on Sphere with Permanent and Impulse Harvesting	1
Statistical Online Learning in Recurrent and Feedforward Quantum Neural Networks	1
On the Bellman Function Method for Operators on Martingales	1
Loss Function Dynamics and Landscape for Deep Neural Networks Trained with Quadratic Loss	1
Asymptotics of Eigenvalues in the Orr–Sommerfeld Problem for Low Velocities of Unperturbed Flow	1
On Fundamental S-Units and Continued Fractions Constructed in Hyperelliptic Fields Using Two Linear Valuations	0
On the Existence and Estimates of Inverse Functions in the Degenerate Case	0
Polyadic Liouville Numbers	0
Bernstein–Riemann Interpolation Formula for Arbitrary Continuous Functions on an Interval	0
Accessible Russian Large Language Models: Open-Source Models and Instructive Datasets for Commercial Applications	0
Erratum to: Expanded Personality as the Main Entity and Subject of Philosophical Analysis: Implications for Education	0
Machine Learning As a Tool to Accelerate the Search for New Materials for Metal-Ion Batteries	0
Continued Fractions in Hyperelliptic Fields with an Arbitrarily Long Period	0
WKB Method for Nonlinear Equations of Emden–Fowler Type	0
Machine Learning to Control Network Powered by Computing Infrastructure	0
On Topological Classification of Regular Denjoy Type Homeomorphisms	0
Individual Stability of Pareto Equilibrium of Threats and Counterthreats in a Coalition Differential Game without Side Payments	0
On Moment Methods in Krylov Subspaces	0
Axiomatic Definition of Small Cancellation Rings	0
Scheduling in Multiagent Systems Using Reinforcement Learning	0
Three Infinite Families of Shilla Graphs Do Not Exist	0
On Procedures for Testing the Equivalence of Distribution Tails	0
On Barenblatt–Zeldovich Intermediate Asymptotics	0
On Solution Existence for a Singular Nonlinear Burgers Equation with Small Parameter and p-Regularity Theory	0
On Interpretations of Presburger Arithmetic in Büchi Arithmetics	0
A Generalization of the First Beurling–Malliavin Theorem	0
On the Behavior of Solutions of the Prandtl System for a Ladyzhenskaya Viscous MHD Medium in the Flow through a Confuser	0
On Tautochronic Motions	0
Conditions for Dissipativity of an Explicit Finite-Difference Scheme for a Linearized Multidimensional Quasi-Gasdynamic System of Equations	0
Existence and Stability of Equilibrium Solutions of the Vlasov Equation with a Modified Gravitational Potential	0
On Quantitative Assessment of Chirality: Right- and Left-Handed Geometric Objects	0
Estimation of Weighted Kloosterman Sums with the Help of Additive Shift	0
Minimum Clique-Free Subgraphs of Kneser Graphs	0
Hierarchical Method for Cooperative Multiagent Reinforcement Learning in Markov Decision Processes	0
Erratum to: On Thermal Boundary Layer in a Viscous Non-Newtonian Medium	0
On Polyadic Liouville Numbers	0
On an Invariant of Pure Braids	0
Arithmetic Properties of the Values of Generalized Hypergeometric Series with Polyadic Transcendental Parameters	0
A Note on Borsuk’s Problem in Minkowski Spaces	0
Two-Colorings of Normed Spaces with No Long Monochromatic Unit Arithmetic Progressions	0
Equilibria in a Dynamic Model of Coordination of Two Firms with Nonfixed Prices	0
Invariant Forms of Geodesic, Potential, and Dissipative Systems on Tangent Bundles of Finite-Dimensional Manifolds	0
Sub-Riemannian Cartan Sphere	0
Study of Volterra Integro-Differential Equations by Methods of Semigroup Theory	0
Construction of Families of Equations to Describe Irregular Solutions in the Fermi–Pasta–Ulam Problem	0
On Fixed Points of Continuous Mappings Associated with Construction of Artificial Neural Networks	0
Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium	0
On the Construction of Regularized Equations of Motion for a Mixture of Viscous Incompressible Fluids	0
Behavior of Binomial Distribution near Its Median	0
Trajectory of an Observer Tracking Object Motion around Convex Obstacles in $${{\mathbb{R}}^{2}}$$ and $${{\mathbb{R}}^{3}}$$	0
On the Equivalence of Singular and Ill-Posed Problems: The p-Factor Regularization Method	0
On Elementary Theory of Completion of Solvable Baumslag–Solitar Group	0
Inverse Problem for a Monoid with an Exponential Sequence of Primes	0
Representations of Solutions for Volterra Integro-Differential Equations in Hilbert Spaces	0
Interpolation of Spaces of Functions of Positive Smoothness on a Domain	0
Erratum to: Computer Experiment in Teaching Mathematics	0
MTS Kion Implicit Contextualised Sequential Dataset for Movie Recommendation	0
Invariants of Seventh-Order Homogeneous Dynamical Systems with Dissipation	0
Periodicity Criterion for Continued Fractions of Key Elements in Hyperelliptic Fields	0
On Reconstruction of Kolmogorov Operators with Discontinuous Coefficients	0
On the Dynamics of Systems with Two Degrees of Freedom	0
Solutions of Cooperative Differential Games with Partner Sets	0
Computers As a Novel Mathematical Reality: IV. The Goldbach Problem	0
Simple Pursuit Problem with Phase Constraints of Two Coordinated Evaders on Time Scales	0
Mathematical Elements of Elementary Education	0
On the 4-Spectrum of First-Order Properties of Random Graphs	0
On the Finiteness of the Set of Generalized Jacobians with Nontrivial Torsion Points over Algebraic Number Fields	0
Proof of Stability in the Brower–Paul Problem	0
On Periodic Solutions of Quasilinear Parabolic Equations with Boundary Conditions of Bitsadze–Samarskii Type	0
On Analogues of Herbrand’s and Harrop’s Theorems for the Joint Logic of Problems and Propositions QHC	0
Weakly Singular Steklov Condition in the Multidimensional Case	0
The Software System LingvoDoc and the Possibilities It Offers for Documentation and Analysis of Ob-Ugric Languages	0
New Cases of Integrability of Systems of Geodesics and Potential and Dissipative Systems on Tangent Bundles of Finite-Dimensional Manifolds	0