On Boolean partial differential equations
Kragujevac Journal of Mathematics, Tome 23 (2001) no. 1
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Kragujevac J. Math. 23 (2001) 5-9. ON BOOLEAN PARTIAL DIFFERENTIAL EQUATIONS Sergiu RudeanuFaculty 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.