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Global asymptotic stability of generalized homogeneous dynamical systems
David Cheban State University of Moldova, Faculty of Mathematics and Computer Science Laboratory of "Fundamental and Applied Mathematics", A. Mateevich Street 60, MD–2009 Chişinău, Moldova
Аннотация:
The goal of the paper is to study the relationship between asymptotic stability and exponential stability of the solutions of generalized homogeneous nonautonomous dynamical systems. This problem is studied and solved within the framework of general non-autonomous (cocycle) dynamical system. The application of our general results for differential and difference equations is given.
Ключевые слова и фразы:
uniform asymptotic stability, global attractor, homogeneous dynamical system.
Поступила в редакцию: 11.07.2023
Образец цитирования:
David Cheban, “Global asymptotic stability of generalized homogeneous dynamical systems”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2023, no. 2, 52–82
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm593 https://www.mathnet.ru/rus/basm/y2023/i2/p52
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Страница аннотации: | 112 | PDF полного текста: | 19 | Список литературы: | 12 |
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