Multiple positive solutions for singular nth-order nonlocal boundary value problems in Banach spaces

In this paper, we consider a class of singular nth-order nonlocal boundary value problems in Banach spaces. The existence of multiple positive solutions for the problem is obtained by using the fixed point index theory of strict set contraction operators. To demonstrate the applications of our resul...

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Main Authors: Hao, Xinan, Liu, Lishan, Wu, Yong Hong
Format: Journal Article
Published: Pergamon 2011
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/9762
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author Hao, Xinan
Liu, Lishan
Wu, Yong Hong
author_facet Hao, Xinan
Liu, Lishan
Wu, Yong Hong
author_sort Hao, Xinan
building Curtin Institutional Repository
collection Online Access
description In this paper, we consider a class of singular nth-order nonlocal boundary value problems in Banach spaces. The existence of multiple positive solutions for the problem is obtained by using the fixed point index theory of strict set contraction operators. To demonstrate the applications of our results, two examples are also given in the paper.
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institution Curtin University Malaysia
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last_indexed 2025-11-14T06:26:59Z
publishDate 2011
publisher Pergamon
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spelling curtin-20.500.11937-97622017-09-13T16:02:58Z Multiple positive solutions for singular nth-order nonlocal boundary value problems in Banach spaces Hao, Xinan Liu, Lishan Wu, Yong Hong Nonlocal conditions Fixed point index for strict set contraction Singular nth-order BVP Cone Measure of noncompactness In this paper, we consider a class of singular nth-order nonlocal boundary value problems in Banach spaces. The existence of multiple positive solutions for the problem is obtained by using the fixed point index theory of strict set contraction operators. To demonstrate the applications of our results, two examples are also given in the paper. 2011 Journal Article http://hdl.handle.net/20.500.11937/9762 10.1016/j.camwa.2011.02.017 Pergamon unknown
spellingShingle Nonlocal conditions
Fixed point index for strict set contraction
Singular nth-order BVP
Cone
Measure of noncompactness
Hao, Xinan
Liu, Lishan
Wu, Yong Hong
Multiple positive solutions for singular nth-order nonlocal boundary value problems in Banach spaces
title Multiple positive solutions for singular nth-order nonlocal boundary value problems in Banach spaces
title_full Multiple positive solutions for singular nth-order nonlocal boundary value problems in Banach spaces
title_fullStr Multiple positive solutions for singular nth-order nonlocal boundary value problems in Banach spaces
title_full_unstemmed Multiple positive solutions for singular nth-order nonlocal boundary value problems in Banach spaces
title_short Multiple positive solutions for singular nth-order nonlocal boundary value problems in Banach spaces
title_sort multiple positive solutions for singular nth-order nonlocal boundary value problems in banach spaces
topic Nonlocal conditions
Fixed point index for strict set contraction
Singular nth-order BVP
Cone
Measure of noncompactness
url http://hdl.handle.net/20.500.11937/9762