Geodesic
Positive solutions to generalized second-order three-point integral boundary-value problems
Electronic journal of differential equations, Tome 2011 (2011)
Zbl EuDML
In this article, by using Krasnoselskii's fixed point theorem, we obtain single and multiple positive solutions to the nonlinear second-order three-point integral boundary value problem

$\displaylines{ u''(t)+a(t)f(u(t))=0,\quad 0, \cr u(0)=\beta\int_0^{\eta}u(s)ds,\quad \alpha\int_0^{\eta}u(s)ds=u(T), }$

where $0\eta$ are given constants. As an application, we give some examples that illustrate our results.
Classification : 34B15, 34K10
Keywords: positive solution, three-point boundary value problem, fixed point theorem, cone 
Chasreechai,  Saowaluk; Tariboon,  Jessada. Positive solutions to generalized second-order three-point integral boundary-value problems. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a55/
@article{EJDE_2011__2011__a55,
     author = {Chasreechai,  Saowaluk and Tariboon,  Jessada},
     title = {Positive solutions to generalized second-order three-point integral boundary-value problems},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1211.34025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a55/}
}
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