  The multitime multiple recurrences are common 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. That is why, the aim of our paper is to formulate and solve problems
concerning nonautonomous multitime multiple recurrence equations. Among other
things, we discuss in detail the cases of linear recurrences with constant
coefficients, highlighting in particular the theorems of existence and
uniqueness of solutions.
