Multiple positive solutions for second order impulsive differential equation
We investigate the existence of at least three positive solutions to a three-point boundary value problem of second order impulsive differential equation. Our analysis rely on the Avery-Peterson fixed point theorem in a cone. An example is given to illustrate our result.
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University of Szeged
2013-01-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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doaj-9bfe1d12d02e462aa36efe2fd276f3852021-07-14T07:21:25ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752013-01-012013611110.14232/ejqtde.2013.1.61582Multiple positive solutions for second order impulsive differential equationWeihua Jiang0Qiang Zhang1Weiwei Guo2Hebei University of Science and Technology, Hebei, P. R. ChinaHebei University of Science and Technology, Hebei, P. R. China Hebei University of Science and Technology, Hebei, P. R. China We investigate the existence of at least three positive solutions to a three-point boundary value problem of second order impulsive differential equation. Our analysis rely on the Avery-Peterson fixed point theorem in a cone. An example is given to illustrate our result.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1582impulsive differential equationfixed point theorempositive solutioncompletely continuous operator |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Weihua Jiang Qiang Zhang Weiwei Guo |
spellingShingle |
Weihua Jiang Qiang Zhang Weiwei Guo Multiple positive solutions for second order impulsive differential equation Electronic Journal of Qualitative Theory of Differential Equations impulsive differential equation fixed point theorem positive solution completely continuous operator |
author_facet |
Weihua Jiang Qiang Zhang Weiwei Guo |
author_sort |
Weihua Jiang |
title |
Multiple positive solutions for second order impulsive differential equation |
title_short |
Multiple positive solutions for second order impulsive differential equation |
title_full |
Multiple positive solutions for second order impulsive differential equation |
title_fullStr |
Multiple positive solutions for second order impulsive differential equation |
title_full_unstemmed |
Multiple positive solutions for second order impulsive differential equation |
title_sort |
multiple positive solutions for second order impulsive differential equation |
publisher |
University of Szeged |
series |
Electronic Journal of Qualitative Theory of Differential Equations |
issn |
1417-3875 1417-3875 |
publishDate |
2013-01-01 |
description |
We investigate the existence of at least three positive solutions to a three-point boundary value problem of second order impulsive differential equation. Our analysis rely on the Avery-Peterson fixed point theorem in a cone. An example is given to illustrate our result. |
topic |
impulsive differential equation fixed point theorem positive solution completely continuous operator |
url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1582 |
work_keys_str_mv |
AT weihuajiang multiplepositivesolutionsforsecondorderimpulsivedifferentialequation AT qiangzhang multiplepositivesolutionsforsecondorderimpulsivedifferentialequation AT weiweiguo multiplepositivesolutionsforsecondorderimpulsivedifferentialequation |
_version_ |
1721303727842787328 |