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The paper deals with first-order differential equations under the assumption that the right-hand side is a periodic function of time and continuous in the set of arguments. Pliss V.A. obtained the first results for a particular class of equations and showed that a number of theorems can not be continued. In this paper, it was possible to reduce the restrictions on the degree of smoothness of the right-hand side of the equation and obtain upper and lower bounds on the number of possible periodic solutions.
Original language | English |
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Title of host publication | 8th Polyakhov's Reading |
Subtitle of host publication | Proceedings of the International Scientific Conference on Mechanics |
Editors | Elena V. Kustova, Gennady A. Leonov, Mikhail P. Yushkov, Nikita F. Morosov, Mariia A. Mekhonoshina |
Publisher | American Institute of Physics |
Number of pages | 5 |
Volume | 1959 |
ISBN (Electronic) | 9780735416604 |
DOIs | |
State | Published - 2 May 2018 |
Event | International Scientific Conference on Mechanics - Eighth Polyakhov's Reading: 8th Polyakhov's Reading - Старый Петергоф, Saint Petersburg, Russian Federation Duration: 29 Jan 2018 → 2 Feb 2018 Conference number: 8 https://events.spbu.ru/events/polyakhov_readings http://nanomat.spbu.ru/en/node/175 http://nanomat.spbu.ru/ru/node/192 http://spbu.ru/news-events/calendar/viii-polyahovskie-chteniya |
Name | AIP Conference Proceedings |
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Volume | 1959 |
ISSN (Print) | 0094-243X |
ISSN (Electronic) | 1551-7616 |
Conference | International Scientific Conference on Mechanics - Eighth Polyakhov's Reading |
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Country/Territory | Russian Federation |
City | Saint Petersburg |
Period | 29/01/18 → 2/02/18 |
Internet address |
ID: 36376789