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 MATHEMATICS Difference schemes for problems in the theory of dispersive wavesG. M. Amiraliev 11 Locally analytic solvability of multidimensional functional equations in a neighborhood of a nonsingular pointG. R. Belitskii, V. A. Tkachenko 15 The Engel property of the multiplicative group of a group algebraA. A. Bovdi, I. I. Khripta 18 Weak approximation in homogeneous spaces of algebraic groupsM. V. Borovoi 21 A condition for the unconditional basis property for systems of eigen- and associated functions of ordinary differential operatorsV. D. Budaev 25 On a hyperbolic equation that describes wave processes in media with dispersion and absorptionV. V. Varlamov 28 On the axiomatization of realizable propositional formulasF. L. Varpakhovskii 32 Weighted $L_p$ potential theory on homogeneous groupsS. K. Vodopyanov 37 On the stability of solutions of Volterra equations of the first kind of convolution typeB. A. Geidarov 42 A three-layer iterative method of Newton typeI. I. Golichev 45 Representations of finite groups over the ring of formal power series with integer $p$-adic coefficientsP. M. Gudivok, V. M. Oros, A. V. Roiter 49 Ergodic behavior of macro parametersV. I. Zubov 52 Difference schemes for nonlinear Schrödinger type equationsF. F. Ivanauskas 55 The Riesz basis property for systems of root vector functions for a discontinuous Schrödinger operator with matrix potentialV. A. Il'in 59 An asymptotic method for constructing optimal controls with singular intervalsA. I. Kalinin 62 Conditions for the solvability of the Riemann boundary value problem on nonsmooth curvesB. A. Kats 67 Inversion of Lagrange's theorem on the stability of small oscillations of a capillary viscous fluidN. D. Kopachevskii 71 An algebraic coefficient criterion for the exponential mean-square stability of solutions of linear stochastic stationary difference equationsD. G. Korenevskij 74 Small perturbations of singular differential equations with unbounded operator coefficientsS. G. Krein, V. I. Fomin 77 First-order conservative quasilinear laws with an infinite domain of dependence on the initial dataS. N. Kruzhkov, E. Yu. Panov 79 A variational method for determining the critical points of a functional and its applicationI. A. Kuzin 85 On the theory of the method of the minimal pseudo-inverse matrixA. S. Leonov 89 Nonselfadjoint $L$–$A$-representation for some nonlinear nonlocal problemsK. V. Mal'kov 94 Extremal problems for operator-differential systemsV. S. Mel'nik 101 The Cauchy problem and boundary value problems for a class of systems of quasilinear hyperbolic equationsO. F. Men'shikh 105 Whitehead groups of algebraic groups of classical type, and $R$-equivalenceA. P. Monastyrnyi, V. I. Yanchevskii 110 Regular $G$-spaces of H. BusemannA. V. Pogorelov 114 Asymptotic expansions of solutions of parabolic boundary value problems with a free boundaryE. V. Radkevich 118 Dual systems of integer-valued vectors and their applicationsS. S. Ryshkov, R. M. Erdahl 123 A Bellman-Harris branching process that starts with a large number of particlesS. M. Sagitov 128 On methods for solving game-theoretic problems of the control of pencils of trajectoriesN. Yu. Satimov 132 Duality of nonconvex extremal problemsV. N. Solov'ev 135 On the continuity of $p$-capacityYu. F. Strugov 138 Some estimates for the mean curvature of graphs over domains in $\mathbf{R}^n$V. G. Tkachev 140 Sums of multiplicative functionsS. T. Tulyaganov 143 Functional-differential inclusions on closed subsetsI. A. Finogenko 147 Regular perturbations in optimal control problems with variable delays and free right endG. L. Kharatishvili, T. A. Tadumadze 151 Group classification of systems of first-order linear differential equations with two unknown functions in two variablesYu. A. Chirkunov 155 An associative algebra of distributions and multipliersV. M. Shelkovich 159 Chebyshev approximation by generalized rational fractions in a space of $\mathfrak{N}$-bounded real-valued functionsG. Ya. Yarakhmedov 164 MATHEMATICAL PHYSICS An analogue of the Frankl's problem for a three-dimensional equation of mixed typeD. Bazarov 169 On the theory of mixed problems in the dynamics of wedge-shaped compositesV. N. Berkovich 172 On the dynamic structure of the charge screening radiusA. S. Vshivtsev, V. Ch. Zhukovskii, B. V. Magnitsky 175 Computer solution of one class of problems of defectoscopyS. M. Zerkal' 180 The equation of state for a lattice gasI. D. Protasov 183 Self-assembly processes with volumetric interactionsM. L. Tai 189