Countably Infinitely Many Positive Solutions for Even Order Boundary Value Problems with Sturm-Liouville Type Integral Boundary Conditions on Time Scales

In this paper, we establish the existence of countably infinitely many positive solutions for a certain even order two-point boundary value problem with integral boundary conditions on time scales by using Hölder’s inequality and Krasnoselskii’s fixed point theorem for operators on a cone.

Bibliographic Details
Main Authors: K.R. Prasad, MD. Khuddush
Format: Article
Language:English
Published: Etamaths Publishing 2017-11-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/1465
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author K.R. Prasad
MD. Khuddush
author_facet K.R. Prasad
MD. Khuddush
author_sort K.R. Prasad
collection DOAJ
description In this paper, we establish the existence of countably infinitely many positive solutions for a certain even order two-point boundary value problem with integral boundary conditions on time scales by using Hölder’s inequality and Krasnoselskii’s fixed point theorem for operators on a cone.
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spelling doaj.art-315428ebaf754d6796b78e83ec28c8ce2022-12-21T22:53:12ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392017-11-01152198210277Countably Infinitely Many Positive Solutions for Even Order Boundary Value Problems with Sturm-Liouville Type Integral Boundary Conditions on Time ScalesK.R. Prasad0MD. Khuddush1Andhra UniversityAndhra UniversityIn this paper, we establish the existence of countably infinitely many positive solutions for a certain even order two-point boundary value problem with integral boundary conditions on time scales by using Hölder’s inequality and Krasnoselskii’s fixed point theorem for operators on a cone.http://www.etamaths.com/index.php/ijaa/article/view/1465
spellingShingle K.R. Prasad
MD. Khuddush
Countably Infinitely Many Positive Solutions for Even Order Boundary Value Problems with Sturm-Liouville Type Integral Boundary Conditions on Time Scales
International Journal of Analysis and Applications
title Countably Infinitely Many Positive Solutions for Even Order Boundary Value Problems with Sturm-Liouville Type Integral Boundary Conditions on Time Scales
title_full Countably Infinitely Many Positive Solutions for Even Order Boundary Value Problems with Sturm-Liouville Type Integral Boundary Conditions on Time Scales
title_fullStr Countably Infinitely Many Positive Solutions for Even Order Boundary Value Problems with Sturm-Liouville Type Integral Boundary Conditions on Time Scales
title_full_unstemmed Countably Infinitely Many Positive Solutions for Even Order Boundary Value Problems with Sturm-Liouville Type Integral Boundary Conditions on Time Scales
title_short Countably Infinitely Many Positive Solutions for Even Order Boundary Value Problems with Sturm-Liouville Type Integral Boundary Conditions on Time Scales
title_sort countably infinitely many positive solutions for even order boundary value problems with sturm liouville type integral boundary conditions on time scales
url http://www.etamaths.com/index.php/ijaa/article/view/1465
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AT mdkhuddush countablyinfinitelymanypositivesolutionsforevenorderboundaryvalueproblemswithsturmliouvilletypeintegralboundaryconditionsontimescales