Geodesic
Multiple positive solutions for singular semipositone nonlinear integral boundary-value problems on infinite intervals
Electronic journal of differential equations, Tome 2015 (2015)
In this article, we study the existence of multiple positive solutions for singular semipositone boundary-value problem (BVP) with integral boundary conditions on infinite intervals. By using the properties of the Green's function and the Guo-Krasnosel'skii fixed point theorem, we obtain the existence of multiple positive solutions under conditions concerning the nonlinear functions. The method in this article can be used for a large number of problems. We illustrate the validity of our results with an example in the last section.
Classification : 34B16, 34B18, 34B40
Keywords: multiple positive solutions, singular semipositone BVP, guo-Krasnoselskii fixed point theorem, integral boundary condition 
@article{EJDE_2015__2015__a98,
     author = {Wang,  Ying},
     title = {Multiple positive solutions for singular semipositone nonlinear integral boundary-value problems on infinite intervals},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1318.34040},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a98/}
}
TY  - JOUR
AU  - Wang,  Ying
TI  - Multiple positive solutions for singular semipositone nonlinear integral boundary-value problems on infinite intervals
JO  - Electronic journal of differential equations
PY  - 2015
VL  - 2015
UR  - http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a98/
LA  - en
ID  - EJDE_2015__2015__a98
ER  - 
%0 Journal Article
%A Wang,  Ying
%T Multiple positive solutions for singular semipositone nonlinear integral boundary-value problems on infinite intervals
%J Electronic journal of differential equations
%D 2015
%V 2015
%U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a98/
%G en
%F EJDE_2015__2015__a98
Wang,  Ying. Multiple positive solutions for singular semipositone nonlinear integral boundary-value problems on infinite intervals. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a98/