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517.938 (10) |
Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (243) |
![]() CHEBAN, David. Global Asymptotic Stability of Generalized Homogeneous Dynamical Systems. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2023, nr. 2(102), pp. 52-82. ISSN 1024-7696. DOI: https://doi.org/10.56415/basm.y2023.i2.p52 |
EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 2(102) / 2023 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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DOI:https://doi.org/10.56415/basm.y2023.i2.p52 | ||||||
CZU: 517.938 | ||||||
Pag. 52-82 | ||||||
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Rezumat | ||||||
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. |
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Cuvinte-cheie Uniform asymptotic stability, Global attractor, homogeneous dynamical system |
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