Geodesic
Existence of positive solutions for \(p\)-Laplacian three-point boundary-value problems on time scales
Electronic journal of differential equations, Tome 2008 (2008)
This article shows the existence of positive solutions for a class of p-Laplacian three-point boundary-value problem on time scales. By using several fixed point theorems in cones, we establish conditions for the existence of at least one, two or three positive solutions for the boundary-value problems. Our results are new even for the corresponding differential $( \mathbb{T}=\mathbb{R})$ and difference equation $(\mathbb{T}=\mathbb{Z})$, and for the general time scales setting. An example is also given to illustrate our results.
Classification : 34B15, 39A10
Keywords: time scales, p-Laplacian, positive solution, cone, fixed point 
@article{EJDE_2008__2008__a96,
     author = {Sun,  Hong-Rui and Wang,  Ying-Hai},
     title = {Existence of positive solutions for {\(p\)-Laplacian} three-point boundary-value problems on time scales},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1172.34019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a96/}
}
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Sun,  Hong-Rui; Wang,  Ying-Hai. Existence of positive solutions for \(p\)-Laplacian three-point boundary-value problems on time scales. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a96/