Estimation of Periodic Solutions Number of First-Order Differential Equations

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12 Scopus citations


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 languageEnglish
Title of host publication8th Polyakhov's Reading
Subtitle of host publicationProceedings of the International Scientific Conference on Mechanics
EditorsElena V. Kustova, Gennady A. Leonov, Mikhail P. Yushkov, Nikita F. Morosov, Mariia A. Mekhonoshina
PublisherAmerican Institute of Physics
Number of pages5
ISBN (Electronic)9780735416604
StatePublished - 2 May 2018
EventInternational Scientific Conference on Mechanics - Eighth Polyakhov's Reading: 8th Polyakhov's Reading - Старый Петергоф, Saint Petersburg, Russian Federation
Duration: 29 Jan 20182 Feb 2018
Conference number: 8

Publication series

NameAIP Conference Proceedings
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


ConferenceInternational Scientific Conference on Mechanics - Eighth Polyakhov's Reading
CountryRussian Federation
CitySaint Petersburg
Internet address

Scopus subject areas

  • Physics and Astronomy(all)



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