Vol. 108, No. 1, 2023

Doklady Mathematics

On Solution Existence for a Singular Nonlinear Burgers Equation with Small Parameter and p-Regularity Theory

B. Medak and A. A. Tret’yakov p. 243 abstract

Invariant Forms of Geodesic, Potential, and Dissipative Systems on Tangent Bundles of Finite-Dimensional Manifolds

M. V. Shamolin p. 248 abstract

Optimization of Oscillations of Mechanical Systems with Friction

Yu. F. Golubev p. 256 abstract

Stochastic Modeling of Transport Coefficients of Liquids

V. Ya. Rudyak and E. V. Lezhnev p. 264 abstract

Averaged Spatial Circular Restricted Three-Body Problem: Internal Case and New Results

P. S. Krasilnikov and A. V. Dobroslavskiy p. 269 abstract

On Asymptotics of Attractors of the Navier–Stokes System in Anisotropic Medium with Small Periodic Obstacles

K. A. Bekmaganbetov, A. M. Toleubay and G. A. Chechkin p. 277 abstract

On Higher Integrability of the Gradient of Solutions to the Zaremba Problem for p-Laplace Equation

Yu. A. Alkhutov, C. D’Apice, M. A. Kisatov and A. G. Chechkina p. 282 abstract

On the Structure of the Set of Panchromatic Colorings of a Random Hypergraph

D. N. Tyapkin and D. A. Shabanov p. 286 abstract

On Obtaining Initial Approximation for the Full Wave Inversion Problem Using Convolutional Neural Network

Corresponding Member of the RAS I. B. Petrov, A. S. Stankevich and A. V. Vasyukov p. 291 abstract

On Subspaces of an Orlicz Space Spanned by Independent Identically Distributed Functions

S. V. Astashkin p. 297 abstract

Hidden Boundary of Global Stability in a Counterexample to the Kapranov Conjecture on the Pull-In Range

Corresponding Member of the RAS N. V. Kuznetsov, M. Y. Lobachev and T. N. Mokaev p. 300 abstract

Method for False Extrema Localization in Global Optimization

Academician of the RAS Yu. G. Evtushenko and A. A. Tret’yakov p. 309 abstract

One-Dimensional Finite-Gap Schrödinger Operators As a Limit of Commuting Difference Operators

G. S. Mauleshova and Corresponding Member of the RAS A. E. Mironov p. 312 abstract

Recurrence of Integrals of Conditionally Periodic Functions

N. V. Denisova p. 316 abstract

Three-Level Scheme for Solving the Radiation Diffusion Equation

Academician of the RAS B. N. Chetverushkin, O. G. Olkhovskaya and V. A. Gasilov p. 320 abstract

Estimate for the Domain of Univalence in the Class of Holomorphic Self-Maps of a Disk with Two Boundary Fixed Points

V. V. Goryainov, O. S. Kudryavtseva and A. P. Solodov p. 326 abstract

Expanded Personality As the Main Entity and Subject of Philosophical Analysis: Implications for Education

Academician of the RAS A. L. Semenov and K. E. Ziskin p. 331 abstract