Geodesic
Existence of positive solution for semipositone second-order three-point boundary-value problem
Electronic journal of differential equations, Tome 2008 (2008)
In this paper, we establish the existence of positive solution for the semipositone second-order three-point boundary value problem $u''(t)+\lambda f(t,u(t))=0, 0$. Our arguments are based on the well-known Guo-Krasnosel'skii fixed-point theorem in cones.
Classification : 34B15
Keywords: semipositone, boundary value problem, positive solution, existence, fixed-point 
@article{EJDE_2008__2008__a12,
     author = {Sun,  Jian-Ping and Wei,  Jia},
     title = {Existence of positive solution for semipositone second-order three-point boundary-value problem},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1172.34314},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a12/}
}
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Sun,  Jian-Ping; Wei,  Jia. Existence of positive solution for semipositone second-order three-point boundary-value problem. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a12/