Geodesic
Positive solutions for a nonlinear \(n\)-th order \(m\)-point boundary-value problem
Electronic journal of differential equations, Tome 2011 (2011)
Using the Leggett-Williams fixed point theorem in cones, we prove the existence of at least three positive solutions to the nonlinear

$\displaylines{ \Delta^{n}u(k)+a(k)f(k,u)=0, \quad k\in \{0,N\},\cr u(0)=0,\; \Delta u(0)=0, \dots, \Delta^{n-2}u(0)=0,\quad u(N+n)=\sum_{i=1}^{m-2}\alpha_iu(\xi_i). }$

Classification : 39A10
Keywords: boundary value problem, positive solution, fixed point theorem, Green's function 
@article{EJDE_2011__2011__a30,
     author = {Zhang,  Jiehua and Guo,  Yanping and Ji,  Yude},
     title = {Positive solutions for a nonlinear \(n\)-th order \(m\)-point boundary-value problem},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1226.39002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a30/}
}
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Zhang,  Jiehua; Guo,  Yanping; Ji,  Yude. Positive solutions for a nonlinear \(n\)-th order \(m\)-point boundary-value problem. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a30/