Geodesic
Existence of solutions to \(p\)-Laplacian difference equations under barrier strips conditions
Electronic journal of differential equations, Tome 2007 (2007)
We study the existence of solutions to the boundary-value problem

$\displaylines{ \Delta(\phi_p(\Delta u(k-1)))=f(k,u(k),\Delta u(k)),\quad k\in \mathbb{T}_{[1, N]}, \cr \Delta u(0)=A, \quad u(N+1)=B, }$

with barrier strips conditions, where N is a fixed natural number greater than 1, $\phi_p(s)=|s|^{p-2}s$, p greater than 1.
Classification : 39A10
Keywords: second-order p-Laplacian difference equation, barrier strips, Leray-Schauder principle, existence 
@article{EJDE_2007__2007__a291,
     author = {Gao,  Chenghua},
     title = {Existence of solutions to {\(p\)-Laplacian} difference equations under barrier strips conditions},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1135.39001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a291/}
}
TY  - JOUR
AU  - Gao,  Chenghua
TI  - Existence of solutions to \(p\)-Laplacian difference equations under barrier strips conditions
JO  - Electronic journal of differential equations
PY  - 2007
VL  - 2007
UR  - http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a291/
LA  - en
ID  - EJDE_2007__2007__a291
ER  - 
%0 Journal Article
%A Gao,  Chenghua
%T Existence of solutions to \(p\)-Laplacian difference equations under barrier strips conditions
%J Electronic journal of differential equations
%D 2007
%V 2007
%U http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a291/
%G en
%F EJDE_2007__2007__a291
Gao,  Chenghua. Existence of solutions to \(p\)-Laplacian difference equations under barrier strips conditions. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a291/