Contents

Doklady Mathematics

Vol. 108, No. 3, 2023

Mathematics

Conditional Cost Function and Necessary Optimality Conditions for Infinite Horizon Optimal Control Problems

Corresponding Member of the RAS S. M. Aseev p. 425  abstract

Dynamics of Systems with Unilateral Differential Constraints

T. V. Salnikova, E. I. Kugushev and A. A. Demidov p. 431  abstract

Upper Bound for the Competitive Facility Location Problem with Demand Uncertainty

V. L. Beresnev and A. A. Melnikov p. 438  abstract

Regularized Equations for Dynamics of the Heterogeneous Binary Mixtures of the Noble-Abel Stiffened-Gases and Their Application

A. A. Zlotnik and T. A. Lomonosov p. 443  abstract

A Stability Estimate in the Source Problem for the Radiative Transfer Equation

Academician of the RAS V. G. Romanov p. 450  abstract

On Barenblatt–Zeldovich Intermediate Asymptotics

V. A. Kostin, D. V. Kostin and A. V. Kostin p. 454  abstract

Estimation of Tetrahedron Degeneration in a Tetrahedral Partition of Three-Dimensional Space

Yu. A. Kriksin and Corresponding Member of the RAS V. F. Tishkin p. 459  abstract

Approximation of Boundary Condition in Higher Order Grid-Characteristic Schemes

Corresponding Member of the RAS I. B. Petrov, V. I. Golubev, A. V. Shevchenko and I. S. Nikitin p. 466  abstract

Existence of a Maximum of Time-Averaged Harvesting in the KPP Model on Sphere with Permanent and Impulse Harvesting

E. V. Vinnikov, A. A. Davydov and D. V. Tunitsky p. 472  abstract

Existence and Relaxation of Solutions for a Differential Inclusion with Maximal Monotone Operators and Perturbations

Corresponding Member of the RAS A. A. Tolstonogov p. 477  abstract

On Derivation of Equations of Gravitation from the Principle of Least Action, Relativistic Milne–McCrea Solutions, and Lagrange Points

V. V. Vedenyapin, A. A. Bay and A. G. Petrov p. 481  abstract

Connectedness of Prym Eigenform Loci in Genus 5

M. Nenasheva p. 486  abstract

Operator Group Generated by a One-Dimensional Dirac System

A. M. Savchuk and I. V. Sadovnichaya p. 490  abstract

Digital Stabilization of a Switched Linear System with Commensurate Delays

Corresponding Member of RAS A. V. Ilin and A. S. Fursov p. 493  abstract

Approximation Algorithms with Constant Factors for a Series of Asymmetric Routing Problems

E. D. Neznakhina, Yu. Yu. Ogorodnikov, K. V. Rizhenko and Corresponding Member of the RAS M. Yu. Khachay p. 499  abstract

Invariants of Fifth-Order Homogeneous Systems with Dissipation

M. V. Shamolin p. 506  abstract

Multidimensional Cubature Formulas with Superpower Convergence

A. A. Belov and M. A. Tintul p. 514  abstract

Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium

Corresponding Member of RAS G. A. Mikhailov and G. Z. Lotova p. 519  abstract

Bernstein Inequality for the Riesz Derivative of Fractional Order Less Than Unity of Entire Functions of Exponential Type

A. O. Leont’eva p. 524  abstract

On Analogues of Herbrand’s and Harrop’s Theorems for the Joint Logic of Problems and Propositions QHC

A. A. Onoprienko p. 528  abstract

Computer Science

Mathematical Modeling of Plasma Transport in a Helical Magnetic Field

Corresponding Member of the RAS G. G. Lazareva, I. P. Oksogoeva and A. V. Sudnikov p. 533  abstract