Об относительной компактности траекторий дифференциальных уравнений в банаховом пространстве
A class of bounded perturbations of a linear differential equation in a Banach space is considered. Sufficient conditions for the precompactness of trajectories of the perturbed system are proposed. Such conditions are shown to be applicable for a nonlinear differential equation without assuming tha...
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| Date: | 2007 |
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| Main Author: | |
| Format: | Article |
| Language: | Russian |
| Published: |
"Доповіді НАН України"
2007
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/1600 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Об относительной компактности траекторий дифференциальных уравнений в банаховом пространстве / А.Л. Зуев // Доп. НАН України. — 2007. — N 2. — С. 7-12. — Библиогр.: 14 назв. — рус. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | A class of bounded perturbations of a linear differential equation in a Banach space is considered. Sufficient conditions for the precompactness of trajectories of the perturbed system are proposed. Such conditions are shown to be applicable for a nonlinear differential equation without assuming that the corresponding infinitesimal generator is accretive.
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| ISSN: | 1025-6415 |