Autonomous nonlinear boundary-value problems for the Lyapunov equation in Hilbert space

UDC 517.9 We investigate boundary value problems for the Lyapunov equation in the Hilbert space in the case where the corresponding problem is defined on an interval that depends on a parameter $\varepsilon$. We obtain necessary and sufficient conditions for the existence of generalized solutions of...

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Bibliographic Details
Date:2021
Main Authors: Bihun, D. S., Pokutnyi, O. O, Panasenko, E. V., Бігун , Д. С., Покутний, О. О., Панасенко , Є. В., Покутний, Александр
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2021
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6691
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal