Geodesic
Double solutions of three-point boundary-value problems for second-order differential equations
Electronic journal of differential equations, Tome 2004 (2004)
A double fixed point theorem is applied to yield the existence of at least two nonnegative solutions for the three-point boundary-value problem for a second-order differential equation,

$\displaylines{ y'' + f(y)=0,\quad 0 \leq t \leq 1,\cr y(0) =0,\quad y(p) - y(1) = 0, }$

where $f:\mathbb{R} \to [0, \infty)$ is continuous.
Classification : 34B15, 34B10, 34B18
Keywords: fixed point theorem, three-point, boundary-value problem 
@article{EJDE_2004__2004__a41,
     author = {Henderson,  Johnny},
     title = {Double solutions of three-point boundary-value problems for second-order differential equations},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1075.34013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a41/}
}
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JO  - Electronic journal of differential equations
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VL  - 2004
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LA  - en
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%0 Journal Article
%A Henderson,  Johnny
%T Double solutions of three-point boundary-value problems for second-order differential equations
%J Electronic journal of differential equations
%D 2004
%V 2004
%U http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a41/
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%F EJDE_2004__2004__a41
Henderson,  Johnny. Double solutions of three-point boundary-value problems for second-order differential equations. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a41/