Geodesic
Positive solutions for a functional delay second-order three-point boundary-value problem
Electronic journal of differential equations, Tome 2006 (2006)
We establish criteria for the existence of positive solutions to the three-point boundary-value problems expressed by second-order functional delay differential equations of the form

$\displaylines{ - x''(t) = f(t, x(t), x(t - \tau), x_t), \quad 0 less than t less than 1, \cr x_0 = \phi, \quad x(1) = x(\eta), }$

where $\phi \in C[- \tau, 0], 0 less than \tau less than 1/4$, and $\tau less than \eta less than 1$.
Classification : 34K10, 34B10
Keywords: functional delay differential equation, boundary value problem, positive solutions, fixed point index 
@article{EJDE_2006__2006__a13,
     author = {Bai,  Chuanzhi and Xu,  Xinya},
     title = {Positive solutions for a functional delay second-order three-point boundary-value problem},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1096.34041},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a13/}
}
TY  - JOUR
AU  - Bai,  Chuanzhi
AU  - Xu,  Xinya
TI  - Positive solutions for a functional delay second-order three-point boundary-value problem
JO  - Electronic journal of differential equations
PY  - 2006
VL  - 2006
UR  - http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a13/
LA  - en
ID  - EJDE_2006__2006__a13
ER  - 
%0 Journal Article
%A Bai,  Chuanzhi
%A Xu,  Xinya
%T Positive solutions for a functional delay second-order three-point boundary-value problem
%J Electronic journal of differential equations
%D 2006
%V 2006
%U http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a13/
%G en
%F EJDE_2006__2006__a13
Bai,  Chuanzhi; Xu,  Xinya. Positive solutions for a functional delay second-order three-point boundary-value problem. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a13/