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.

Bibliographic Details
Main Author: Fang-Fang Liao
Format: Article
Language:English
Published: University of Szeged 2017-07-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5704
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spelling 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&paramtipus_ertek=publication&param_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&paramtipus_ertek=publication&param_ertek=5704
work_keys_str_mv AT fangfangliao periodicsolutionsofsecondorderdifferentialequationswithvanishinggreensfunctions
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