EN|RU Volume 15, No 6, 2008, P. 48-57 UDC 519.716 S. S. Marchenkov, V. S. Fedorova On solutions of systems of functional boolean equations Abstract: Solutions of systems of functional Boolean equations are considered. For each class $P_2,T_0,T_1,S,T_{01},S_{01}$ the problem of construction of functional Boolean equations systems with a fixed set of functional constants and one functional variable whose unique solution is of the concerned class is solved. For an arbitrary nonempty set $F$ of $n$-argument Boolean functions, the system of equations with functional constants $\vee$ and $\&$ is built with $F$ as the solution set. If the above-mentioned set $F$ is closed under transition to dual functions, then the corresponding system of functional Boolean equations can be constructed without functional constants at all.  Bibl. 12. Keywords: functional Boolean equation, closed class of Boolean functions. Marchenkov Sergey Serafimovich 1 Fedorova Valentina Sergeevna 1 1. Lomonosov Moscow State University, Vorob’evy ghory, 119992 Moscow, Russia e-mail: mathcyb@cs.msu.su © Sobolev Institute of Mathematics, 2015