Uniqueness criterion and Cramer's rule for implicit higher order linear difference equations over \(\mathbf{Z} \)

DOI10.1007/978-3-030-60107-2_16zbMath1473.39002OpenAlexW3118915334MaRDI QIDQ2050485

A. L. Piven', V. V. Martensiuk, Sergey L. Gefter

Publication date: 31 August 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-60107-2_16

zbMATH Keywords

Cramer's ruleinteger solution\(p\)-adic topologyimplicit linear difference equation

Mathematics Subject Classification ID

Linear difference equations (39A06) Numerical methods for difference equations (65Q10)

Related Items (1)

Implicit Linear Nonhomogeneous Difference Equation over ℤ with a Random Right-Hand Side

Cites Work

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• The Laurent phenomenon
• Application of the \(p\)-adic topology on \(\mathbb{Z}\) to the problem of finding solutions in integers of an implicit linear difference equation
• Analogue of the Cramer rule for an implicit linear second order difference equation over the ring of integers
• Implicit Linear Nonhomogeneous Difference Equation in Banach and Locally Convex Spaces
• Integer solutions for a vector implicit linear difference equation in Z^N

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