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Constant coefficient linear difference equations on the rational cones of the integer lattice
- 作者：E. K. Leĭnartas ; T. I. Nekrasova
- 关键词：higher ; dimensional difference equations ; Cauchy problem ; generating function ; D ; finite Laurent series
- 刊名：Siberian Mathematical Journal
- 出版年：2016
- 出版时间：January 2016
- 年：2016
- 卷：57
- 期：1
- 页码：74-85
- 全文大小：263 KB
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- 作者单位：E. K. Leĭnartas (1)
T. I. Nekrasova (1)
1. Siberian Federal University, Krasnoyarsk, Russia
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Mathematics
Russian Library of Science
- 出版者：Springer New York
- ISSN：1573-9260
文摘
We obtain a sufficient solvability condition for Cauchy problems for a polynomial difference operator with constant coefficients. We prove that if the generating function of the Cauchy data of a homogeneous Cauchy problem lies in one of the classes of Stanley’s hierarchy then the generating function of the solution belongs to the same class.
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