Bounded solutions of a second-order difference equation with jumps of operator coefficients

DOI10.1007/s11253-021-01932-zzbMath1479.39012OpenAlexW3209014279MaRDI QIDQ2057617

M. F. Horodnii, V. P. Kravets

Publication date: 7 December 2021

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

Full work available at URL: https://doi.org/10.1007/s11253-021-01932-z

zbMATH Keywords

Banach spacebounded solution

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22)

Cites Work

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• Necessary and sufficient conditions for the invertibility of piecewise-autonomous difference operators in the space of bounded two-sided sequences
• On bounded solutions of one difference equation of the second order
• Exponentially dichotomous difference equations with piecewise constant operator coefficients
• On the bounded solutions of a difference equation with variable operator coefficient
• Linear Difference Equation of Second Order in a Banach Space and Operators Splitting
• The bounded solutions of a second•order difference equation with a jump of the operator coefficient
• Exponential dichotomy for solutions of discrete systems

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