Implicit Linear Nonhomogeneous Difference Equation in Banach and Locally Convex Spaces

DOI10.15407/MAG15.03.336zbMath1451.39002OpenAlexW2980726230MaRDI QIDQ5132741

A. L. Piven', Sergey L. Gefter

Publication date: 12 November 2020

Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15407/mag15.03.336

zbMATH Keywords

locally convex spaceBanach space, locally nilpotent operator

Mathematics Subject Classification ID

Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear difference equations (39A06)

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Implicit Linear Nonhomogeneous Difference Equation over ℤ with a Random Right-Hand Side ⋮ On the stability of a strongly stabilizing control for degenerate systems in Hilbert spaces ⋮ Implicit linear first order difference equations over commutative rings ⋮ Formal functional calculus for weakly locally nilpotent operators in Fréchet spaces ⋮ Implicit linear \(q\)-difference equations in Banach spaces ⋮ Uniqueness criterion and Cramer's rule for implicit higher order linear difference equations over \(\mathbf{Z} \)

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