Solvability conditions for infinite systems of difference equations

DOI10.1080/10236190802259824zbMath1170.39010OpenAlexW2056026261MaRDI QIDQ3634515

Vitaly A. Volpert, Narcisia C. Apreutesei

Publication date: 25 June 2009

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190802259824

zbMATH Keywords

Fredholm propertydifference equationsinfinite systemsnormal solvabilitylocation of the spectrumlinear infinite dimensional difference operators

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Discrete version of topics in analysis (39A12) Difference operators (39A70) Linear difference operators (47B39)

Related Items (4)

Unnamed Item ⋮ Stability of difference equations and applications to robustness problems ⋮ Input-output admissibility and exponential trichotomy of difference equations ⋮ Unnamed Item

Cites Work

• Eigenvalue comparisons for a class of boundary value problems of second order difference equations
• On essential spectra of operator-matrices and their Feshbach maps.
• Pseudodifference operators on weighted spaces, and applications to discrete schrödinger operators
• Band-dominated Fredholm operators on discrete groups
• Normal solvability of general linear elliptic problems
• Nonlinear Boundary Value Problems on Sequence Spaces
• Stability and Stabilizability for Linear Systems of Difference Equations
• On the Solvability of Nonlinear Discrete Boundary Value Problems
• Fredholm property of general elliptic problems
• Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections

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