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Kragujevac J. Math. 23 (2001) 5-9.

ON BOOLEAN PARTIAL DIFFERENTIAL EQUATIONS

Sergiu Rudeanu

Faculty of Mathematics, University of Bucharest

(Received July 24, 2001)

Abstract. A Boolean analogue of differential calculus has been developed since the fifties, both for its intrinsic interest and in view of applications; see e.g. [6], [7]. In this paper we solve the partial differential equation mf / x1... xm= g and the partial differential system f / xi= gi  (i=1,...,m). This generalizes previous results of Bochmann, Ping and Levchenkov.