Boundary-value problems for the Lyapunov equation. І

• Date: 2024
• Main Authors: Boichuk, O., Panasenko, Ye., Pokutnyi, O., Бойчук, Олександр, Панасенко, Євген, Покутний, Олександр, Покутний, Александр
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2024
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7785
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We study boundary-value problems for the Lyapunov operator-differential  equation. By using  the theory of Moore–Penrose pseudoinverse operators  and its development, we establish conditions for the existence of generalized solutions and propose algor...