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 Nodal solutions of systems of linear inequalitiesS. N. Chernikov 3 $S$-radical and Sylow bases of infinite groupsP. A. Gol'berg 25 Construction of uniform approximations to solutions of systems of differential equations with a small parameter in the highest derivativeA. B. Vasil'eva 43 Real linear locally nilpotent groupsD. A. Suprunenko 59 Different types of completeness of topological spacesG. A. Kirtadze 67 Spaces of closed subsets of compact extensionsV. M. Ivanova 91 A form of hypercomplex monogenic functionsV. S. Fedorov 101 The transformation of congruences with the help of half-quadricsS. E. Karapetyan 109 Existence of a periodic solution for an autonomous system of $n$ differential equationsV. S. Blinchevskii 117