A functional-analytical approach to the asymptotics of recursions

DOI10.1090/S0002-9939-09-09360-5zbMath1180.39019OpenAlexW2164448433MaRDI QIDQ3182568

Christian Poetzsche

Publication date: 9 October 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09360-5

zbMATH Keywords

asymptoticsfixed point theoremsmeasure of non-compactnessnon-autonomous difference equationfunctional analytical method

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Continuous and differentiable maps in nonlinear functional analysis (46T20) Growth, boundedness, comparison of solutions to difference equations (39A22) Numerical aspects of recurrence relations (65Q30) Numerical methods for difference equations (65Q10)

Related Items (3)

On the eigenvalue problem of a class of linear partial difference equations ⋮ Input-output admissibility and exponential trichotomy of difference equations ⋮ Bounded solutions and asymptotic stability of nonlinear second-order neutral difference equations with quasi-differences

Cites Work

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• Uniform dichotomy and exponential dichotomy of evolution families on the half-line
• Measures of noncompactness in metric fixed point theory
• Weighted convergent and bounded solutions of difference systems
• Asymptotic behavior of recursions via fixed point theory
• Dichotomies for linear difference equations
• Punti uniti in trasformazioni a codominio non compatto
• Stability of Discrete Dichotomies for Linear Difference Systems
• Properties of discrete composition operators
• Existence of complex ℓ₂solutions of linear delay systems of difference equations
• Stability and summability of solutions of difference equations

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