Geodesic
Positive solutions of a nonlinear three-point boundary-value problem
Electronic Journal of Differential Equations, Tome 1999 (1999).

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

Summary: We study the existence of positive solutions to the boundary-value problem $ u''+a(t)f(u)=0,\quad t\in (0,1)u(0)=0,\quad\alpha u(\eta)=u(1)\,, $ where $0 less than \eta less than 1$ and $0 less than \alpha less than 1/\eta$. We show the existence of at least one positive solution if $f$ is either superlinear or sublinear by applying the fixed point theorem in cones.
Classification : 34B15
Keywords: second-order multi-point BVP, positive solution, cone, fixed point 
@article{EJDE_1999__1999__a85,
     author = {Ma, Ruyun},
     title = {Positive solutions of a nonlinear three-point boundary-value problem},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {1999},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a85/}
}
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Ma, Ruyun. Positive solutions of a nonlinear three-point boundary-value problem. Electronic Journal of Differential Equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a85/