Implicit linear first order difference equations over commutative rings

DOI10.1007/978-3-031-25225-9_10OpenAlexW4360971501MaRDI QIDQ6153713

Sergey L. Gefter, Anna Goncharuk, Aleksey Piven

Publication date: 19 March 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-25225-9_10

zbMATH Keywords

local ringNoetherian ringperiodical solutionimplicit difference equation\(\mathcal{M}\)-adic topologyquasi-polynomial solution

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Linear difference equations (39A06)

Cites Work

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• Application of asymptotic expansions to the investigation of an infinite system of equations \(Ax_{n+1}+Bx_ n=f_ n\) in a Banach space
• Invertibility of linear difference operators with constant coefficients
• Application of the \(p\)-adic topology on \(\mathbb{Z}\) to the problem of finding solutions in integers of an implicit linear difference equation
• Discrete time systems, operator models, and scattering theory
• Integer-Valued Polynomials
• Completely integrally closed Prüfer v-multiplication domains
• Implicit Linear Nonhomogeneous Difference Equation in Banach and Locally Convex Spaces

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