Conditions for the Existence of Power Solutions to a Linear Difference Equation with Constant Coefficients

Conditions for the Existence of Power Solutions to a Linear Difference Equation with Constant Coefficients

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 . We present necessary and sufficient conditions on the coefficients of the equation and the init...

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Veröffentlicht in:Russian mathematics 2024-04, Vol.68 (4), p.17-27
1. Verfasser: Kruglov, V. E.
Format: Artikel
Sprache:eng
Schlagworte:
Difference equations
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung: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 . We present necessary and sufficient conditions on the coefficients of the equation and the initial parameters under which such solutions are obtained.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X24700245