Geodesic
On solvability of one difference equation
Problemy analiza, Tome 6 (2017) no. 1, pp. 41-45.

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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. 
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I. A. Chernov. On solvability of one difference equation. Problemy analiza, Tome 6 (2017) no. 1, pp. 41-45. http://geodesic.mathdoc.fr/item/PA_2017_6_1_a3/

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