Geodesic
Green's function and existence of solutions for a functional focal differential equation
Electronic journal of differential equations, Tome 2006 (2006)
We determine Green's function for a third-order three-point boundary-value problem of focal type and determine conditions on the coefficients and boundary points to ensure its positivity. We then apply this in the determination of the existence of positive solutions to a related higher-order functional differential equation.
Classification : 34B10, 34B18, 34B27
Keywords: multiple solutions, boundary value problems, Green's function, third order differential equation 
@article{EJDE_2006__2006__a80,
     author = {Anderson,  Douglas R. and Anderson,  Tyler O. and Kleber,  Mathew M.},
     title = {Green's function and existence of solutions for a functional focal differential equation},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1112.34041},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a80/}
}
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AU  - Anderson,  Tyler O.
AU  - Kleber,  Mathew M.
TI  - Green's function and existence of solutions for a functional focal differential equation
JO  - Electronic journal of differential equations
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VL  - 2006
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%A Anderson,  Tyler O.
%A Kleber,  Mathew M.
%T Green's function and existence of solutions for a functional focal differential equation
%J Electronic journal of differential equations
%D 2006
%V 2006
%U http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a80/
%G en
%F EJDE_2006__2006__a80
Anderson,  Douglas R.; Anderson,  Tyler O.; Kleber,  Mathew M. Green's function and existence of solutions for a functional focal differential equation. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a80/