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)
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},
     year = {2012},
     volume = {2012},
     zbl = {1244.34023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a74/}
}
TY  - JOUR
AU  - Zhao,  Yulin
AU  - Chen,  Haibo
AU  - Xu,  Chengjie
TI  - Existence of multiple solutions for three-point boundary-value problems on infinite intervals in Banach spaces
JO  - Electronic journal of differential equations
PY  - 2012
VL  - 2012
UR  - http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a74/
LA  - en
ID  - EJDE_2012__2012__a74
ER  - 
%0 Journal Article
%A Zhao,  Yulin
%A Chen,  Haibo
%A Xu,  Chengjie
%T Existence of multiple solutions for three-point boundary-value problems on infinite intervals in Banach spaces
%J Electronic journal of differential equations
%D 2012
%V 2012
%U http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a74/
%G en
%F EJDE_2012__2012__a74
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/