Exponentially dichotomous difference equations with piecewise constant operator coefficients

DOI10.1007/S11253-020-01835-5zbMath1453.39012OpenAlexW3107282220MaRDI QIDQ2214023

V. Yu. Slyusarchuk

Publication date: 4 December 2020

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-020-01835-5

zbMATH Keywords

exponential dichotomylinear difference equations

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30) Linear difference equations (39A06)

Related Items (5)

Bounded and summable solutions of a difference equation with piecewise-constant operator coefficients ⋮ Vandermonde operator and bounded solutions of difference equations ⋮ Bounded solutions of a differential equation with piecewise constant operator coefficients ⋮ Bounded solutions of a second-order difference equation with jumps of operator coefficients ⋮ Bounded (on \(\mathbb{Z}\)) solutions of one difference equation

Cites Work

• Generalized inverse operators and Fredholm boundary-value problems. Translated from the Russian by P. V. Malyshev
• Exponentially dichotomous difference equations with non-Lipschitz perturbations
• Periodic and almost periodic solutions of difference equations in metric spaces
• Geometric theory of semilinear parabolic equations
• Bounded and periodic solutions of a difference equation and its stochastic analogue in Banach space
• On bounded solutions of a difference equation with jumps of the operator coefficient
• Method of locally linear approximation of nonlinear difference operators by weakly regular operators
• Dichotomies for linear difference equations
• Exponential dichotomy for solutions of discrete systems
• Representation of the bounded solutions of discrete linear system
• Invertibility and the Fredholm property of difference operators
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