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.

Bibliographic Details
Main Authors: Weihua Jiang, Qiang Zhang, Weiwei Guo
Format: Article
Language:English
Published: University of Szeged 2013-01-01
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=1582
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spelling 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&paramtipus_ertek=publication&param_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&paramtipus_ertek=publication&param_ertek=1582
work_keys_str_mv AT weihuajiang multiplepositivesolutionsforsecondorderimpulsivedifferentialequation
AT qiangzhang multiplepositivesolutionsforsecondorderimpulsivedifferentialequation
AT weiweiguo multiplepositivesolutionsforsecondorderimpulsivedifferentialequation
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