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Problemy Analiza — Issues of Analysis, 2017, Volume 6(24), Issue 1, Pages 41–45
DOI: https://doi.org/10.15393/j3.art.2017.3550 (Mi pa210) 		 
On solvability of one difference equation

I. A. Chernovab

a Petrozavodsk State University, 33, Lenina pr., Petrozavodsk 185910, Russia
b Inst. Appl. Math. Research of Karelian Research Centre of Russian Academy of Sciences, 11, Pushkinskaya st., Petrozavodsk 185910, Russia
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DOI: https://doi.org/10.15393/j3.art.2017.3550
Abstract: We consider a system of difference equation similar to those that appear as a description of cumulative sums. Using Hamel bases, we construct pathological solutions to this system for constant right-hand sides. Also we show that bounded solutions do not exist for non-zero right-hand sides, while only constants can be solutions in the homogeneous case.
Keywords: difference equations, Hamel basis, pathological solutions, existence and uniqueness.
Received: 30.12.2016
Revised: 13.03.2017
Accepted: 05.04.2017
Bibliographic databases:
Document Type: Article
UDC: 517.929.2
MSC: 39A06
Language: English
Citation: I. A. Chernov, “On solvability of one difference equation”, Probl. Anal. Issues Anal., 6(24):1 (2017), 41–45
Citation in format AMSBIB
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\by I.~A.~Chernov
\paper On solvability of one difference equation
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\yr 2017
\vol 6(24)
\issue 1
\pages 41--45
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