Existence and multiplicity results for Singular phi-Laplacian BVPs on the positive half-line

This work proves the existence and multiplicity of positive solutions for a second-order nonlinear three-point phi-Laplacian boundary-value problem posed on the positive half-line. The nonlinearity depends on the solution and its derivative and may exhibit a time singularity at the origin. Exis...

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Main Authors:	Smail Djebali, Karima Mebarki
Format:	Article
Language:	English
Published:	Texas State University 2009-08-01
Series:	Electronic Journal of Differential Equations
Subjects:	phi-Laplacian three point BVPs positive solutions singularity fixed point in a cone
Online Access:	http://ejde.math.txstate.edu/Volumes/2009/103/abstr.html

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spelling	doaj-c34d29318f0448c4aaceeae78a48dadd2020-11-24T22:47:33ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912009-08-012009103,113Existence and multiplicity results for Singular phi-Laplacian BVPs on the positive half-lineSmail DjebaliKarima MebarkiThis work proves the existence and multiplicity of positive solutions for a second-order nonlinear three-point phi-Laplacian boundary-value problem posed on the positive half-line. The nonlinearity depends on the solution and its derivative and may exhibit a time singularity at the origin. Existence of single and multiple nontrivial positive solutions is proved using fixed point index theory. http://ejde.math.txstate.edu/Volumes/2009/103/abstr.htmlphi-Laplacianthree point BVPspositive solutionssingularityfixed point in a cone
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Smail Djebali Karima Mebarki
spellingShingle	Smail Djebali Karima Mebarki Existence and multiplicity results for Singular phi-Laplacian BVPs on the positive half-line Electronic Journal of Differential Equations phi-Laplacian three point BVPs positive solutions singularity fixed point in a cone
author_facet	Smail Djebali Karima Mebarki
author_sort	Smail Djebali
title	Existence and multiplicity results for Singular phi-Laplacian BVPs on the positive half-line
title_short	Existence and multiplicity results for Singular phi-Laplacian BVPs on the positive half-line
title_full	Existence and multiplicity results for Singular phi-Laplacian BVPs on the positive half-line
title_fullStr	Existence and multiplicity results for Singular phi-Laplacian BVPs on the positive half-line
title_full_unstemmed	Existence and multiplicity results for Singular phi-Laplacian BVPs on the positive half-line
title_sort	existence and multiplicity results for singular phi-laplacian bvps on the positive half-line
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2009-08-01
description	This work proves the existence and multiplicity of positive solutions for a second-order nonlinear three-point phi-Laplacian boundary-value problem posed on the positive half-line. The nonlinearity depends on the solution and its derivative and may exhibit a time singularity at the origin. Existence of single and multiple nontrivial positive solutions is proved using fixed point index theory.
topic	phi-Laplacian three point BVPs positive solutions singularity fixed point in a cone
url	http://ejde.math.txstate.edu/Volumes/2009/103/abstr.html
work_keys_str_mv	AT smaildjebali existenceandmultiplicityresultsforsingularphilaplacianbvpsonthepositivehalfline AT karimamebarki existenceandmultiplicityresultsforsingularphilaplacianbvpsonthepositivehalfline
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Existence and multiplicity results for Singular phi-Laplacian BVPs on the positive half-line

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