Application of the second Lyapunov method for getting the conditions of stability in systems with quadratic right-hand side

• Datum: 2024
• Hauptverfasser: Khusainov, D., Shatyrko, A., Puza, B., Novotna, V., Хусаінов, Денис, Шатирко, Андрій, Пужа, Бедріх, Новотна, Вероніка
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2024
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/7655
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.929 By using the apparatus of Lyapunov's direct method with a function from the class of quadratic forms, we establish algebraic sufficient conditions for the stability of trivial solutions to the nonlinear systems of differential equations of the second and third orders.