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 Φ-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"...
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| Lenguaje: | English |
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2014
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000100010 |
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oai:scielo:S0719-064620140001000102018-10-08UPPER AND LOWER SOLUTIONS FOR Φ-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINEDjebali,SmaïlSaifi,Ouiza Third order half-line Φ-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 Φ-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 μ > 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 Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Third order half-line Φ-Laplacian singular problem positive solution fixed point upper and lower solution |
| spellingShingle |
Third order half-line Φ-Laplacian singular problem positive solution fixed point upper and lower solution Djebali,Smaïl Saifi,Ouiza UPPER AND LOWER SOLUTIONS FOR Φ-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 Φ-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 μ > 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. |
| author |
Djebali,Smaïl Saifi,Ouiza |
| author_facet |
Djebali,Smaïl Saifi,Ouiza |
| author_sort |
Djebali,Smaïl |
| title |
UPPER AND LOWER SOLUTIONS FOR Φ-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINE |
| title_short |
UPPER AND LOWER SOLUTIONS FOR Φ-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINE |
| title_full |
UPPER AND LOWER SOLUTIONS FOR Φ-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINE |
| title_fullStr |
UPPER AND LOWER SOLUTIONS FOR Φ-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINE |
| title_full_unstemmed |
UPPER AND LOWER SOLUTIONS FOR Φ-LAPLACIAN THIRD-ORDER BVPs ON THE HALF LINE |
| title_sort |
upper and lower solutions for Φ-laplacian third-order bvps on the half line |
| 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 |
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1714206787976036352 |