Geodesic
Existence of solutions for nonlinear second-order two-point boundary-value problems
Electronic Journal of Differential Equations, Tome 2009 (2009).

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

Summary: We consider the existence of solutions for the nonlinear second-order two-point ordinary differential equations $$\displaylines{ u''(t)+\lambda u(t)+g(u(t))=h(t),\quad t\in[0,1] \cr u(0)=u(1)=0, \quad\hbox{or} \quad u'(0)=u'(1)=0 }$$ where $g:\mathbb{R}\to \mathbb{R}$ is continuous, and $h\in L^1(0,1)$.
Classification : 34B15
Keywords: two-point boundary value problem, existence, Leray-Schauder theory 
@article{EJDE_2009__2009__a166,
     author = {Du, Rui-Juan},
     title = {Existence of solutions for nonlinear second-order two-point boundary-value problems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a166/}
}
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Du, Rui-Juan. Existence of solutions for nonlinear second-order two-point boundary-value problems. Electronic Journal of Differential Equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a166/