Periodic solutions of second order differential equations with vanishing Green's functions
We study the existence and multiplicity of positive periodic solutions for second order differential equations with vanishing Green’s functions. The proof relies on a fixed point theorem in cones. Some recent results in the literature are generalized.
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University of Szeged
2017-07-01
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doaj-d8a8bb6ab1b04fc285cd428a96e1814b2021-07-14T07:21:30ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752017-07-012017551810.14232/ejqtde.2017.1.555704Periodic solutions of second order differential equations with vanishing Green's functionsFang-Fang Liao0Shanghai Normal University, Shanghai, ChinaWe study the existence and multiplicity of positive periodic solutions for second order differential equations with vanishing Green’s functions. The proof relies on a fixed point theorem in cones. Some recent results in the literature are generalized.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5704periodic solutionsdifferential equationsvanishing green's functionsfixed point theorem in cones |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Fang-Fang Liao |
spellingShingle |
Fang-Fang Liao Periodic solutions of second order differential equations with vanishing Green's functions Electronic Journal of Qualitative Theory of Differential Equations periodic solutions differential equations vanishing green's functions fixed point theorem in cones |
author_facet |
Fang-Fang Liao |
author_sort |
Fang-Fang Liao |
title |
Periodic solutions of second order differential equations with vanishing Green's functions |
title_short |
Periodic solutions of second order differential equations with vanishing Green's functions |
title_full |
Periodic solutions of second order differential equations with vanishing Green's functions |
title_fullStr |
Periodic solutions of second order differential equations with vanishing Green's functions |
title_full_unstemmed |
Periodic solutions of second order differential equations with vanishing Green's functions |
title_sort |
periodic solutions of second order differential equations with vanishing green's functions |
publisher |
University of Szeged |
series |
Electronic Journal of Qualitative Theory of Differential Equations |
issn |
1417-3875 1417-3875 |
publishDate |
2017-07-01 |
description |
We study the existence and multiplicity of positive periodic solutions for second order differential equations with vanishing Green’s functions. The proof relies on a fixed point theorem in cones. Some recent results in the literature are generalized. |
topic |
periodic solutions differential equations vanishing green's functions fixed point theorem in cones |
url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5704 |
work_keys_str_mv |
AT fangfangliao periodicsolutionsofsecondorderdifferentialequationswithvanishinggreensfunctions |
_version_ |
1721303526335840256 |