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Uniqueness and parameter dependence of positive solutions of third order boundary value problems with $p$-laplacian
We consider the boundary value problem with nonhomogeneous
three-point boundary condition
Sufficient conditions are obtained for the existence and uniqueness of a positive
solution. The dependence of the solution on the parameter $\lambda$ is also studied.
This work extends and improves some recent results in the literature on the
above problem, especially those in the paper [L. Kong, D. Piao, and L. Wang,
Positive solutions for third order boundary value problems with $p$-Laplacian,
Result. Math. 55 (2009) 111{128].