Journal of Siberian Federal University. Mathematics & Physics / On the Cauchy Problem for Multidimensional Difference Equations in Rational Cone

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2015 8 (2)
Authors
Nekrasova, Tatiana I.
Contact information
Nekrasova, Tatiana I.:Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
Keywords
Cauchy problem; rational cone; generating function; multisection
Abstract

The Cauchy problem for multidimensional difference equations in rational cone is formulated and suf- ficient 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

Pages
184–191
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/16805