UPPER AND LOWER SOLUTIONS FOR Φ-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINE

UPPER AND LOWER SOLUTIONS FOR Φ-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINE

In this paper, we investigate the existence of positive solution for a class of singular third-order boundary value problem associated with a &#934;-Laplacian operator and posed on the positive half-line: <img border=0 width=657 height=130 src="http:/fbpe/img/cubo/v16n1/art10-01.jpg"> where &#956; > 0. By using the upper and lower solution approach and the fixed point theory, the existence of positive solutions is proved under a monotonic condition on f. The nonlinearity f may be singular at x = 0. An example of application is included to illustrate the main existence result.

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Main Authors: Djebali,Smaïl, Saifi,Ouiza
Format: Digital revista
Language:English
Published: Universidad de La Frontera. Departamento de Matemática y Estadística. 2014
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000100010
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spelling oai:scielo:S0719-064620140001000102018-10-08UPPER AND LOWER SOLUTIONS FOR &#934;-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINEDjebali,SmaïlSaifi,Ouiza Third order half-line &#934;-Laplacian singular problem positive solution fixed point upper and lower solution In this paper, we investigate the existence of positive solution for a class of singular third-order boundary value problem associated with a &#934;-Laplacian operator and posed on the positive half-line: <img border=0 width=657 height=130 src="http:/fbpe/img/cubo/v16n1/art10-01.jpg"> where &#956; > 0. By using the upper and lower solution approach and the fixed point theory, the existence of positive solutions is proved under a monotonic condition on f. The nonlinearity f may be singular at x = 0. An example of application is included to illustrate the main existence result.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.16 n.1 20142014-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000100010en10.4067/S0719-06462014000100010
institution SCIELO
collection OJS
country Chile
countrycode CL
component Revista
access En linea
databasecode rev-scielo-cl
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author Djebali,Smaïl
Saifi,Ouiza
spellingShingle Djebali,Smaïl
Saifi,Ouiza
UPPER AND LOWER SOLUTIONS FOR &#934;-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINE
author_facet Djebali,Smaïl
Saifi,Ouiza
author_sort Djebali,Smaïl
title UPPER AND LOWER SOLUTIONS FOR &#934;-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINE
title_short UPPER AND LOWER SOLUTIONS FOR &#934;-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINE
title_full UPPER AND LOWER SOLUTIONS FOR &#934;-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINE
title_fullStr UPPER AND LOWER SOLUTIONS FOR &#934;-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINE
title_full_unstemmed UPPER AND LOWER SOLUTIONS FOR &#934;-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINE
title_sort upper and lower solutions for &#934;-laplacian third-order bvps on the half line
description In this paper, we investigate the existence of positive solution for a class of singular third-order boundary value problem associated with a &#934;-Laplacian operator and posed on the positive half-line: <img border=0 width=657 height=130 src="http:/fbpe/img/cubo/v16n1/art10-01.jpg"> where &#956; > 0. By using the upper and lower solution approach and the fixed point theory, the existence of positive solutions is proved under a monotonic condition on f. The nonlinearity f may be singular at x = 0. An example of application is included to illustrate the main existence result.
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2014
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000100010
work_keys_str_mv AT djebalismail upperandlowersolutionsfor934laplacianthirdorderbvpsonthehalfline
AT saifiouiza upperandlowersolutionsfor934laplacianthirdorderbvpsonthehalfline
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