Bounded and summable solutions of a difference equation with piecewise constant operator coefficients

UDC 517.929.2 We prove the necessity of known sufficient conditions for the existence of a unique solution bounded or summable with degree $p$ for a linear difference equation with piecewise constant operator coefficients.

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Datum:2022
Hauptverfasser: Horodnii , М. F., Городній, М. Ф.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2022
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/7087
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:UDC 517.929.2 We prove the necessity of known sufficient conditions for the existence of a unique solution bounded or summable with degree $p$ for a linear difference equation with piecewise constant operator coefficients.
DOI:10.37863/umzh.v74i7.7087