Abstract:
We define a derivation of the ring of Laurent series with supports in rational cones and prove existence and
uniqueness of a solution to an analog of one initial-boundary value problem of Hörmander for polynomial
differential operators with constant coefficients in the class of formal Laurent series.
Keywords:differential operator, the Hörmander’s problem, difference equations, multiple Laurent series.
UDC:517.55+517.9
Received: 22.12.2017 Received in revised form: 25.12.2017 Accepted: 20.02.2018