Geodesic
Multiple positive solutions for singular \(m\)-point boundary-value problems with nonlinearities depending on the derivative
Electronic journal of differential equations, Tome 2008 (2008)
Using the fixed point theorem in cones, this paper shows the existence of multiple positive solutions for the singular

$\displaylines{ x''(t)+a(t)f(t,x(t),x'(t))=0,\quad 01,\cr x'(0)=0,\quad x(1)= \sum_{i=1}^{m-2}a_{i}x(\xi_i), }$

where $0\xi_1\xi_2\dots\xi_{m-2}1, a_i\in [0,1), i = 1, 2,\dots, m-2$, with $0 \sum_{i=1}^{m-2}a_i 1 $ and $f$ maybe singular at $x=0$ and $x'=0$.
Classification : 34B10, 34B15
Keywords: m-point boundary-value problem, singularity, positive solutions, fixed point theorem 
@article{EJDE_2008__2008__a87,
     author = {Ma,  Ya and Yan,  Baoqiang},
     title = {Multiple positive solutions for singular \(m\)-point boundary-value problems with nonlinearities depending on the derivative},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1171.34010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a87/}
}
TY  - JOUR
AU  - Ma,  Ya
AU  - Yan,  Baoqiang
TI  - Multiple positive solutions for singular \(m\)-point boundary-value problems with nonlinearities depending on the derivative
JO  - Electronic journal of differential equations
PY  - 2008
VL  - 2008
UR  - http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a87/
LA  - en
ID  - EJDE_2008__2008__a87
ER  - 
%0 Journal Article
%A Ma,  Ya
%A Yan,  Baoqiang
%T Multiple positive solutions for singular \(m\)-point boundary-value problems with nonlinearities depending on the derivative
%J Electronic journal of differential equations
%D 2008
%V 2008
%U http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a87/
%G en
%F EJDE_2008__2008__a87
Ma,  Ya; Yan,  Baoqiang. Multiple positive solutions for singular \(m\)-point boundary-value problems with nonlinearities depending on the derivative. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a87/