Geodesic
K-dimensional nonlocal boundary-value problems at resonance
Electronic Journal of Differential Equations, Tome 2015 (2015).

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

Summary: 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},
     publisher = {mathdoc},
     volume = {2015},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a92/}
}
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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/