Geodesic
Conditions for the existence of power solutions to a linear difference equation with constant coefficients
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2024), pp. 20-30 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $k^m\lambda^k$. We present necessary and sufficient conditions on the coefficients of the equation and the initial parameters under which such solutions are obtained.
Keywords: difference equation
Mots-clés : conditions on the coefficients of an equation. 
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     title = {Conditions for the existence of power solutions to a linear difference equation with constant coefficients},
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V. E. Kruglov. Conditions for the existence of power solutions to a linear difference equation with constant coefficients. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2024), pp. 20-30. http://geodesic.mathdoc.fr/item/IVM_2024_4_a2/

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