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 MATHEMATICS Exact values of widths of classes of functions in $L_2$G. G. Magaril-Il'yaev, V. M. Tikhomirov 583 Theorems on the asymptotic proximity of fundamental solutions of parabolic equationsF. O. Porper, S. D. Èidel'man 586 On the numerical solution of nonlinear equationsN. N. Redkovskii, V. A. Gureev 590 Higher-order moduli of smoothness associated with the Fourier–Jacobi expansion, and the approximation of functions by algebraic polynomialsKh. P. Rustamov 593 On the problem of determining the source function and the coefficient of a parabolic equationE. G. Savateev 597 On the multidimensional symmetry principleA. B. Sukhov 599 MATHEMATICAL PHYSICS The relation between the matrix potential of a Dirac system and its WronskianM. M. Malamud 601 CONTROL THEORY A sufficient condition for the stability of polynomial cubic dynamical systemsA. A. Krasovskii 605 PHYSICS The crystal structure of dusmatoviteE. V. Sokolova, L. A. Pautov 607 The method of the linear spectral problem in the dynamics of nonlinear systemsV. P. Shestopalov 611 MECHANICS On the form of the neutral curve enclosing the instability region of a boundary layerV. I. Zhuk 615 The theory of shells with continuously distributed dislocationsL. M. Zubov, L. M. Filippova 619 A family of exact solutions that are close to gravitational waves of maximum amplitudeE. A. Karabut 623 On the general solution characterized by the degree of a harmonic function to the problem of two-dimensional processes in alternating-conductivity layersV. F. Piven' 627