On \(p\)th-power integrable solutions of a difference equation with continuous argument in a Banach space

DOI10.1007/S10958-013-1323-8zbMath1277.39012OpenAlexW2046794709MaRDI QIDQ357329

M. F. Horodnii, A. V. Syrotenko

Publication date: 30 July 2013

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

Full work available at URL: https://doi.org/10.1007/s10958-013-1323-8

zbMATH Keywords

boundednessBanach space\(p\)th-power integrabilitydifference equations with continuous argument

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22)

Cites Work

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• On the boundedness of one recurrent sequence in a banach space
• Investigation of the Structure of the Set of Continuous Solutions of Systems of Linear Difference Equations with Continuous Argument

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