Geodesic
Existence of multiple solutions for three-point boundary-value problems on infinite intervals in Banach spaces
Electronic Journal of Differential Equations, Tome 2012 (2012).

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

Summary: We prove the existence of at least three solutions for a second-order three-point boundary-value problem on infinite intervals in Banach spaces. We use the unbounded upper and lower solution method, and the topological degree theory of strict-set-contractions. To illustrate our results, we present an example.
Classification : 34B15
Keywords: boundary value problem, lower and upper solution, strict-set-contraction, Banach space 
@article{EJDE_2012__2012__a74,
     author = {Zhao, Yulin and Chen, Haibo and Xu, Chengjie},
     title = {Existence of multiple solutions for three-point boundary-value problems on infinite intervals in {Banach} spaces},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a74/}
}
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Zhao, Yulin; Chen, Haibo; Xu, Chengjie. Existence of multiple solutions for three-point boundary-value problems on infinite intervals in Banach spaces. Electronic Journal of Differential Equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a74/