Geodesic
Positive solutions for a nonlinear $n$-th order $m$-point boundary-value problem
Electronic Journal of Differential Equations, Tome 2011 (2011).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2011},
     year = {2011},
     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/