Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Estimation of Periodic Solutions Number of First-Order Differential Equations. / Ivanov, Gennady; Alferov, Gennady; Gorovenko (Efimova), Polina; Sharlay, Artem.
8th Polyakhov's Reading: Proceedings of the International Scientific Conference on Mechanics. ред. / Elena V. Kustova; Gennady A. Leonov; Mikhail P. Yushkov; Nikita F. Morosov; Mariia A. Mekhonoshina. Том 1959 American Institute of Physics, 2018. 080006 (AIP Conference Proceedings; Том 1959).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - Estimation of Periodic Solutions Number of First-Order Differential Equations
AU - Ivanov, Gennady
AU - Alferov, Gennady
AU - Gorovenko (Efimova), Polina
AU - Sharlay, Artem
N1 - Conference code: 8
PY - 2018/5/2
Y1 - 2018/5/2
N2 - 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.
AB - 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.
KW - SYSTEMS
UR - http://www.scopus.com/inward/record.url?scp=85047225397&partnerID=8YFLogxK
U2 - 10.1063/1.5034723
DO - 10.1063/1.5034723
M3 - статья в сборнике материалов конференции
VL - 1959
T3 - AIP Conference Proceedings
BT - 8th Polyakhov's Reading
A2 - Kustova, Elena V.
A2 - Leonov, Gennady A.
A2 - Yushkov, Mikhail P.
A2 - Morosov, Nikita F.
A2 - Mekhonoshina, Mariia A.
PB - American Institute of Physics
Y2 - 29 January 2018 through 2 February 2018
ER -
ID: 36376789