Periodic Solutions of Scalar Differential Equations without Uniqueness
Bollettino dell'Unione Matematica Italiana (2009)
- Volume: 2, Issue: 2, page 445-448
- ISSN: 0392-4041
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topSȩdziwy, Stanisław. "Periodic Solutions of Scalar Differential Equations without Uniqueness." Bollettino dell'Unione Matematica Italiana 2.2 (2009): 445-448. <http://eudml.org/doc/290591>.
@article{Sȩdziwy2009,
abstract = {The note presents a simple proof of a result due to F. Obersnel and P. Omari on the existence of periodic solutions with an arbitrary period of the first order scalar differential equation, provided equation has an n-periodic solution with the minimal period n > 1.},
author = {Sȩdziwy, Stanisław},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {445-448},
publisher = {Unione Matematica Italiana},
title = {Periodic Solutions of Scalar Differential Equations without Uniqueness},
url = {http://eudml.org/doc/290591},
volume = {2},
year = {2009},
}
TY - JOUR
AU - Sȩdziwy, Stanisław
TI - Periodic Solutions of Scalar Differential Equations without Uniqueness
JO - Bollettino dell'Unione Matematica Italiana
DA - 2009/6//
PB - Unione Matematica Italiana
VL - 2
IS - 2
SP - 445
EP - 448
AB - The note presents a simple proof of a result due to F. Obersnel and P. Omari on the existence of periodic solutions with an arbitrary period of the first order scalar differential equation, provided equation has an n-periodic solution with the minimal period n > 1.
LA - eng
UR - http://eudml.org/doc/290591
ER -
References
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- ANDRES, J. - PASTOR, K., A version of Sharkovskii Theorem for differential equations, Proceedings of the AMS, 133 (2005), 449-453. Zbl1063.34030MR2093067DOI10.1090/S0002-9939-04-07627-0
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- OBERSNEL, F. - OMARI, P., Old and new results for first order periodic ODEs without uniqueness: a comprehensive study by lower and upper solutions, Advanced Non-linear Studies, 4 (2004), 323-376. Zbl1072.34041MR2079818DOI10.1515/ans-2004-0306
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