On exponential dichotomy for abstract differential equations with delayed argument

UDC 517.9 We consider linear differential equations of the first order with delayed arguments in a Banach space. We establish conditions for the operator coefficients necessary for the existence of  exponential dichotomy on the real axis. It is proved that the analyzed differential equa...

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Bibliographic Details
Date:2023
Main Authors: Chaikovs'kyi, A., Lagoda, O., Чайковський, Андрій, Лагода, Оксана
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2023
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7576
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal