Geodesic
Solvability of a nonlinear third-order three-point general eigenvalue problem on time scales
Electronic journal of differential equations, Tome 2010 (2010)
We study the existence of eigenvalue intervals for the third-order nonlinear three-point boundary value problem on time scales satisfying general boundary conditions. Values of a parameter are determined for which the boundary value problem has a positive solution by utilizing a fixed point theorem on a cone in a Banach space.
Classification : 34B99, 39A99
Keywords: time scales, boundary value problem, eigenvalue interval, positive solution, cone 
@article{EJDE_2010__2010__a239,
     author = {Prasad,  Kapula R. and Suryanarayana,  Nadakuduti V.V.S.},
     title = {Solvability of a nonlinear third-order three-point general eigenvalue problem on time scales},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1201.34145},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a239/}
}
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Prasad,  Kapula R.; Suryanarayana,  Nadakuduti V.V.S. Solvability of a nonlinear third-order three-point general eigenvalue problem on time scales. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a239/