Application of the second Lyapunov method for getting the conditions of stability in systems with quadratic right-hand side
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.
Збережено в:
| Дата: | 2024 |
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| Автори: | , , , , , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2024
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7655 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | 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. |
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| DOI: | 10.3842/umzh.v75i12.7655 |