Conditions for the existence of power solutions to a linear difference equation with constant coefficients
https://doi.org/10.26907/0021-3446-2024-4-20-30
Abstract
With the help of the formula for the general solution of a difference equation with constant coefficients, it is shown that the set of solutions to this equation contains classical solutions of the type km\λk. We present necessary and sufficient conditions on the coefficients of the equation and the initial parameters under which such solutions are obtained.
About the Author
V. E. Kruglov
Odesa I.I. Mechnikov National University
Ukraine
Ukraine
Viktor Evgen’evich Kruglov
2 Dvoryanskaya str., Odessa, 65082
References
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Review
For citations:
Kruglov V.E. Conditions for the existence of power solutions to a linear difference equation with constant coefficients. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. 2024;(4):20-30. (In Russ.) https://doi.org/10.26907/0021-3446-2024-4-20-30
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