Existence of three positive solutions for an m-point boundary-value problem on time scales

We study an m-point boundary-value problem on time scales. By using a fixed point theorem, we prove the existence of at least three positive solutions, under suitable growth conditions imposed on the nonlinear term. An example is given to illustrate our results.

Bibliographic Details
Main Author: Abdulkadir Dogan
Format: Article
Language:English
Published: Texas State University 2013-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/149/abstr.html
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author Abdulkadir Dogan
author_facet Abdulkadir Dogan
author_sort Abdulkadir Dogan
collection DOAJ
description We study an m-point boundary-value problem on time scales. By using a fixed point theorem, we prove the existence of at least three positive solutions, under suitable growth conditions imposed on the nonlinear term. An example is given to illustrate our results.
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spelling doaj.art-dbf238d303ee49d5b3ffaa41613f73bc2022-12-21T21:04:31ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-06-012013149,110Existence of three positive solutions for an m-point boundary-value problem on time scalesAbdulkadir DoganWe study an m-point boundary-value problem on time scales. By using a fixed point theorem, we prove the existence of at least three positive solutions, under suitable growth conditions imposed on the nonlinear term. An example is given to illustrate our results.http://ejde.math.txstate.edu/Volumes/2013/149/abstr.htmlTime scalesboundary value problempositive solutionsfixed point theorem
spellingShingle Abdulkadir Dogan
Existence of three positive solutions for an m-point boundary-value problem on time scales
Electronic Journal of Differential Equations
Time scales
boundary value problem
positive solutions
fixed point theorem
title Existence of three positive solutions for an m-point boundary-value problem on time scales
title_full Existence of three positive solutions for an m-point boundary-value problem on time scales
title_fullStr Existence of three positive solutions for an m-point boundary-value problem on time scales
title_full_unstemmed Existence of three positive solutions for an m-point boundary-value problem on time scales
title_short Existence of three positive solutions for an m-point boundary-value problem on time scales
title_sort existence of three positive solutions for an m point boundary value problem on time scales
topic Time scales
boundary value problem
positive solutions
fixed point theorem
url http://ejde.math.txstate.edu/Volumes/2013/149/abstr.html
work_keys_str_mv AT abdulkadirdogan existenceofthreepositivesolutionsforanmpointboundaryvalueproblemontimescales