Geodesic
Positive solutions to a generalized second-order three-point boundary-value problem on time scales
Electronic journal of differential equations, Tome 2005 (2005)
Let

$\displaylines{ u^{\Delta\nabla}(t)+a(t)f(u(t))=0,\quad t\in[0, T]\subset \mathbb{T},\cr u(0)=\beta u(\eta),\quad u(T)=\alpha u(\eta) }$

on time scales $\mathbb{T}$, where , $0less than \alpha less than \frac{T}{\eta}, $0 less than betaless than fracT-alphaetaT-eta

$ are given constants.$

Classification : 34B18, 39A10
Keywords: time scales, three-point boundary value problems, cone, fixed points, positive solutions 
@article{EJDE_2005__2005__a88,
     author = {Luo,  Hua and Ma,  Qiaozhen},
     title = {Positive solutions to a generalized second-order three-point boundary-value problem on time scales},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1075.34014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a88/}
}
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Luo,  Hua; Ma,  Qiaozhen. Positive solutions to a generalized second-order three-point boundary-value problem on time scales. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a88/