Geodesic
Existence results for nonlinear boundary-value problems with integral boundary conditions
Electronic journal of differential equations, Tome 2005 (2005)
In this paper, we investigate the existence of solutions for a second order nonlinear boundary-value problem with integral boundary conditions. By using suitable fixed point theorems, we study the cases when the right hand side has convex and nonconvex values.
Classification : 34A60, 34B15
Keywords: nonlinear boundary-value problem, integral boundary conditions, contraction, fixed point 
@article{EJDE_2005__2005__a280,
     author = {Belarbi,  Abdelkader and Benchohra,  Mouffak},
     title = {Existence results for nonlinear boundary-value problems with integral boundary conditions},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1075.34015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a280/}
}
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Belarbi,  Abdelkader; Benchohra,  Mouffak. Existence results for nonlinear boundary-value problems with integral boundary conditions. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a280/