Upper and Lower Solution Method for Fourth-Order Four-Point Boundary Value Problem on Time Scales

We consider a fourth-order four-point boundary value problem for dynamic equations on time scales. By the upper and lower solution method, some results on the existence of solutions of the fourth-order four-point boundary value problem on time scales are obtained. An example is also included to illu...

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Main Author: Ilkay Yaslan Karaca
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/647235
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author Ilkay Yaslan Karaca
author_facet Ilkay Yaslan Karaca
author_sort Ilkay Yaslan Karaca
collection DOAJ
description We consider a fourth-order four-point boundary value problem for dynamic equations on time scales. By the upper and lower solution method, some results on the existence of solutions of the fourth-order four-point boundary value problem on time scales are obtained. An example is also included to illustrate our results.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-2dd9ee389e894435a2a3d1309bbc1e8a2025-02-03T06:13:24ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/647235647235Upper and Lower Solution Method for Fourth-Order Four-Point Boundary Value Problem on Time ScalesIlkay Yaslan Karaca0Department of Mathematics, Ege University, Izmir, 35100 Bornova, TurkeyWe consider a fourth-order four-point boundary value problem for dynamic equations on time scales. By the upper and lower solution method, some results on the existence of solutions of the fourth-order four-point boundary value problem on time scales are obtained. An example is also included to illustrate our results.http://dx.doi.org/10.1155/2012/647235
spellingShingle Ilkay Yaslan Karaca
Upper and Lower Solution Method for Fourth-Order Four-Point Boundary Value Problem on Time Scales
Abstract and Applied Analysis
title Upper and Lower Solution Method for Fourth-Order Four-Point Boundary Value Problem on Time Scales
title_full Upper and Lower Solution Method for Fourth-Order Four-Point Boundary Value Problem on Time Scales
title_fullStr Upper and Lower Solution Method for Fourth-Order Four-Point Boundary Value Problem on Time Scales
title_full_unstemmed Upper and Lower Solution Method for Fourth-Order Four-Point Boundary Value Problem on Time Scales
title_short Upper and Lower Solution Method for Fourth-Order Four-Point Boundary Value Problem on Time Scales
title_sort upper and lower solution method for fourth order four point boundary value problem on time scales
url http://dx.doi.org/10.1155/2012/647235
work_keys_str_mv AT ilkayyaslankaraca upperandlowersolutionmethodforfourthorderfourpointboundaryvalueproblemontimescales