Upper and lower solutions for φ−Laplacian third-order BVPs on the half-Line
- Smaïl Djebali djebali@ens-kouba.dz
- Ouiza Saifi saifi_kouba@yahoo.fr
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DOI:
https://doi.org/10.4067/S0719-06462014000100010Abstract
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.
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