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 Two classes of spaces reflexive in the sense of PontryaginS. S. Akbarov, E. T. Shavgulidze 3 Combinatorial description of a moduli space of curves and of extremal polynomialsA. B. Bogatyrev 27 Stabilization of a semilinear parabolic equation in the exterior of a bounded domain by means of boundary controlsA. V. Gorshkov 49 On the $L^p_\mu$-strong property of orthonormal systemsM. G. Grigoryan 77 A remark on the distribution of the zeros of Riemann's zeta function and a continuous analogue of Kakeya's theoremA. V. Egorov 107 Method of Lyapunov functions in problems of stability of solutions of systems of differential equations with impulse actionA. O. Ignatyev 117 Quadrature formulae for classes of functions of low smoothnessE. D. Nursultanov, N. T. Tleukhanova 133