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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...