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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 1, Pages 98–112
DOI: https://doi.org/10.17377/smzh.2016.57.108 (Mi smj2731) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Constant coefficient linear difference equations on the rational cones of the integer lattice

E. K. Leĭnartasa, T. I. Nekrasova

a Siberian Federal University, Krasnoyarsk, Russia
Full-text PDF (518 kB) Citations (10)
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DOI: https://doi.org/10.17377/smzh.2016.57.108
Abstract: 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.
Keywords: higher-dimensional difference equations, Cauchy problem, generating function, $D$-finite Laurent series.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.Y26.31.0006
Russian Foundation for Basic Research 14-01-00-544
This research was done at Siberian Federal University and supported by the Government of the Russian Federation (Grant 14.Y26.31.0006). The first author was also supported by the Russian Foundation for Basic Research (Grant 14-01-00-544).
Received: 10.11.2014
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 1, Pages 74–85
DOI: https://doi.org/10.1134/S0037446616010080
Bibliographic databases:
Document Type: Article
UDC: 517.55+517.96
Language: Russian
Citation: E. K. Leǐnartas, T. I. Nekrasova, “Constant coefficient linear difference equations on the rational cones of the integer lattice”, Sibirsk. Mat. Zh., 57:1 (2016), 98–112; Siberian Math. J., 57:1 (2016), 74–85
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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