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 The method of loop molecules and the topology of the Kovalevskaya topA. V. Bolsinov, P. H. Richter, A. T. Fomenko 3 Polynomial integrals of reversible mechanical systems with a two-dimensional torus as the configuration spaceN. V. Denisova, V. V. Kozlov 43 An analogue of Morse theory for planar linear networks and the generalized Steiner problemG. A. Karpunin 64 Estimates of the stabilization rate as $t\to\infty$ of solutions of the first mixed problem for a quasilinear system of second-order parabolic equationsL. M. Kozhevnikova, F. Kh. Mukminov 91 Embedding the weighted Sobolev space $W^l_p(\Omega;v)$ in the space $L_p(\Omega;\omega)$L. K. Kusainova 132 On homogenization of a variational inequality for an elastic body with periodically distributed fissuresS. E. Pastukhova 149 Contact of a free boundary with a fixed boundaryN. N. Ural'tseva 165