Existence of bounded solutions of nonlinear difference equations in Banach spaces

DOI10.1007/S10958-014-1788-0zbMath1314.39018OpenAlexW2087206560MaRDI QIDQ460535

I. M. Hrod

Publication date: 13 October 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-1788-0

zbMATH Keywords

Banach spacenonlinear difference equationbounded solution

Mathematics Subject Classification ID

Additive difference equations (39A10) Growth, boundedness, comparison of solutions to difference equations (39A22)

Cites Work

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• Generalization of the Mukhamadiev theorem on the invertibility of functional operators in the space of bounded functions
• Representation of the bounded solutions of discrete linear system

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