Geodesic
Existence of solutions to a third-order multi-point problem on time scales
Electronic Journal of Differential Equations, Tome 2007 (2007).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We are concerned with the existence and form of solutions to nonlinear third-order three-point and multi-point boundary-value problems on general time scales. Using the corresponding Green function, we prove the existence of at least one positive solution using the Guo-Krasnosel'skii fixed point theorem. Moreover, a third-order multi-point eigenvalue problem is formulated, and eigenvalue intervals for the existence of a positive solution are found.
Classification : 34B18, 34B27, 34B10, 39A10
Keywords: boundary value problem, time scale, third order, Green function 
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     author = {Anderson, Douglas R. and Hoffacker, Joan},
     title = {Existence of solutions to a third-order multi-point problem on time scales},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2007},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a67/}
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Anderson, Douglas R.; Hoffacker, Joan. Existence of solutions to a third-order multi-point problem on time scales. Electronic Journal of Differential Equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a67/