  The aim of our paper is to formulate and solve problems concerning multitime
multiple recurrence equations. We discuss in detail the generic properties and
the existence and uniqueness of solutions. Among the general things, we discuss
in detail the cases of autonomous and non-autonomous recurrences, highlighting
in particular the theorems of existence and uniqueness of solutions. Finally,
are given interesting examples which are the analogue of arithmetic progression
and the analogue of geometric progression. The multitime multiple recurrences
are required in analysis of algorithms, computational biology, information
theory, queueing theory, filters theory, statistical physics etc. The
theoretical part about them is little or not known, this being the first paper
about the subject.
