Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (6)
- Authors
- Leinartas, Evgeny K.; Yakovleva, Tatiana I.
- Contact information
- Leinartas, Evgeny K.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Yakovleva, Tatiana I.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
- Keywords
- multidimensional difference equations; Cauchy problem; hierarchy of generating function; Hadamard composition
- Abstract
We study the dependence of the properties of the generating function of the solution of the Cauchy problem on the properties of the generating function of the initial data for a difference equation with constant coefficients in a rational point cone. Conditions are found under which the generating functions of the solution remain in the same classes as the generating functions of the initial data.
- Pages
- 712–722
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/108419
Journal of Siberian Federal University. Mathematics & Physics / The Cauchy Problem for Multidimensional Difference Equations and the Preservation of the Hierarchy of Generating Functions of its Solutions
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