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"> 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.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad de La Frontera. Departamento de Matemática y Estadística.
2014
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000100010 |
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