Geodesic
Existence of solutions for nonlinear second-order two-point boundary-value problems
Electronic journal of differential equations, Tome 2009 (2009)
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__a66,
     author = {Du,  Rui-Juan},
     title = {Existence of solutions for nonlinear second-order two-point boundary-value problems},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1188.34025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a66/}
}
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AU  - Du,  Rui-Juan
TI  - Existence of solutions for nonlinear second-order two-point boundary-value problems
JO  - Electronic journal of differential equations
PY  - 2009
VL  - 2009
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LA  - en
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%0 Journal Article
%A Du,  Rui-Juan
%T Existence of solutions for nonlinear second-order two-point boundary-value problems
%J Electronic journal of differential equations
%D 2009
%V 2009
%U http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a66/
%G en
%F EJDE_2009__2009__a66
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__a66/