This article is cited in 3 papers

On the Cauchy problem for multidimensional difference equations in rational cone

Tatiana I. Nekrasova

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia

Abstract: The Cauchy problem for multidimensional difference equations in rational cone is formulated and sufficient condition for its solvability is given. The notion of multisection of multiple Laurent series with the support in a rational cone is defined. The formulae which express any multisection through original series are presented.

Keywords: Cauchy problem, rational cone, generating function, multisection.

UDC: 517.55

Received: 10.02.2015
Received in revised form: 15.03.2015
Accepted: 28.04.2015

Language: English