Even number of positive solutions for 3nth order three-point boundary value problem on time scales

We establish the existence of at least two positive solutions for the 3nth order three-point boundary value problem on time scales by using Avery-Henderson fixed point theorem. We also establish the existence of at least 2m positive solutions for an arbitrary positive integer m.

Bibliographic Details
Main Authors: K. Prasad, N. Sreedhar
Format: Article
Language:English
Published: University of Szeged 2011-12-01
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=1242
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spelling doaj-1e97de722c45450a8291b0fe6240f9ec2021-07-14T07:21:23ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752011-12-0120119811610.14232/ejqtde.2011.1.981242Even number of positive solutions for 3nth order three-point boundary value problem on time scalesK. Prasad0N. Sreedhar1Andhra University, Visakhapatnam, IndiaGITAM University, Visakhapatnam, IndiaWe establish the existence of at least two positive solutions for the 3nth order three-point boundary value problem on time scales by using Avery-Henderson fixed point theorem. We also establish the existence of at least 2m positive solutions for an arbitrary positive integer m.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1242green's functionboundary value problempositive solutiontime scalecone
collection DOAJ
language English
format Article
sources DOAJ
author K. Prasad
N. Sreedhar
spellingShingle K. Prasad
N. Sreedhar
Even number of positive solutions for 3nth order three-point boundary value problem on time scales
Electronic Journal of Qualitative Theory of Differential Equations
green's function
boundary value problem
positive solution
time scale
cone
author_facet K. Prasad
N. Sreedhar
author_sort K. Prasad
title Even number of positive solutions for 3nth order three-point boundary value problem on time scales
title_short Even number of positive solutions for 3nth order three-point boundary value problem on time scales
title_full Even number of positive solutions for 3nth order three-point boundary value problem on time scales
title_fullStr Even number of positive solutions for 3nth order three-point boundary value problem on time scales
title_full_unstemmed Even number of positive solutions for 3nth order three-point boundary value problem on time scales
title_sort even number of positive solutions for 3nth order three-point boundary value problem on time scales
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2011-12-01
description We establish the existence of at least two positive solutions for the 3nth order three-point boundary value problem on time scales by using Avery-Henderson fixed point theorem. We also establish the existence of at least 2m positive solutions for an arbitrary positive integer m.
topic green's function
boundary value problem
positive solution
time scale
cone
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1242
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AT nsreedhar evennumberofpositivesolutionsfor3nthorderthreepointboundaryvalueproblemontimescales
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