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:
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.
@article{1292,
title = {Upper and Lower Solutions for ph-Laplacian Third-order BVPs on the Half-Line},
journal = {CUBO, A Mathematical Journal},
volume = {16},
year = {2014},
language = {en},
url = {http://dml.mathdoc.fr/item/1292}
}
Djebali, Sma¨ıl; Saifi, Ouiza. Upper and Lower Solutions for φ−Laplacian Third-order BVPs on the Half-Line. CUBO, A Mathematical Journal, Tome 16 (2014) . http://gdmltest.u-ga.fr/item/1292/