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 Soviet mathematics for 40 years 147 On the number of limit cycles of the equation $\dfrac{dy}{dx}=\dfrac{P(x,y)}{Q(x,y)}$, where $P$ and $Q$ are polynomialsE. M. Landis, I. G. Petrovskii 149 $W$-transformations of Cartan manifolds of special projective typeS. P. Finikov 169 Transformation of a monotone irreducible mapping into a monotone-open one, and monotone-open mappings of the cube which raise the dimensionLyudmila Keldysh 187 On weighted uniform approximation by polynomials of functions of several variablesM. M. Dzhrbashyan, A. B. Tavadyan 227 Asymptotic-geometric and ergodic properties of sets of lattice points on a sphereYu. V. Linnik 257 On rings with identity relationsA. I. Shirshov 277