Geodesic
K-dimensional nonlocal boundary-value problems at resonance
Electronic journal of differential equations, Tome 2015 (2015)
In this article we show the existence of at least one solution to the system of nonlocal resonant boundary-value problem

$ x''=f(t,x), \quad x'(0)=0, \quad x'(1)=\int_{0 }^{1}x'(s)\,dg(s), $

where $f:[0,1]\times\mathbb{R}^k\to\mathbb{R}^k, g:[0,1]\to\mathbb{R}^k$.
Classification : 34B10, 34B15
Keywords: nonlocal boundary value problem, perturbation method, boundary value problem at resonance, Neumann BVP 
@article{EJDE_2015__2015__a92,
     author = {Szyma\'nska-Debowska,  Katarzyna},
     title = {K-dimensional nonlocal boundary-value problems at resonance},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1321.34033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a92/}
}
TY  - JOUR
AU  - Szymańska-Debowska,  Katarzyna
TI  - K-dimensional nonlocal boundary-value problems at resonance
JO  - Electronic journal of differential equations
PY  - 2015
VL  - 2015
UR  - http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a92/
LA  - en
ID  - EJDE_2015__2015__a92
ER  - 
%0 Journal Article
%A Szymańska-Debowska,  Katarzyna
%T K-dimensional nonlocal boundary-value problems at resonance
%J Electronic journal of differential equations
%D 2015
%V 2015
%U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a92/
%G en
%F EJDE_2015__2015__a92
Szymańska-Debowska,  Katarzyna. K-dimensional nonlocal boundary-value problems at resonance. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a92/