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Matematicheskie Zametki, 1975, Volume 18, Issue 5, Pages 731–734 (Mi mzm7685)  
The existence of a fundamental solution of power growth for systems of difference equations

A. Ya. Belyankov

Moscow Engineering Physics Institute
Full-text PDF (228 kB)
Abstract: It is proved that any nondegenerate system of difference equations of finite order with constant coefficients has a fundamental solution, increasing not faster then some power of the distance from the origin. A proof is obtained by the reduction to a known similar result for the case of one equation.
Received: 08.04.1975
English version:
Mathematical Notes, 1975, Volume 18, Issue 5, Pages 1025–1026
DOI: https://doi.org/10.1007/BF01153571
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. Ya. Belyankov, “The existence of a fundamental solution of power growth for systems of difference equations”, Mat. Zametki, 18:5 (1975), 731–734; Math. Notes, 18:5 (1975), 1025–1026
Citation in format AMSBIB
\Bibitem{Bel75}
\by A.~Ya.~Belyankov
\paper The existence of a~fundamental solution of power growth for systems of difference equations
\jour Mat. Zametki
\yr 1975
\vol 18
\issue 5
\pages 731--734
\mathnet{http://mi.mathnet.ru/mzm7685}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=397213}
\zmath{https://zbmath.org/?q=an:0323.39004}
\transl
\jour Math. Notes
\yr 1975
\vol 18
\issue 5
\pages 1025--1026
\crossref{https://doi.org/10.1007/BF01153571}
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