Geodesic
Uniqueness of a symmetric positive solution to an ODE system
Electronic journal of differential equations, Tome 2009 (2009)
Zbl   EuDML
In this article, we prove uniqueness of symmetric positive solutions of the variational ODE system

$\displaylines{ -w''+a w-wv=0 \cr -v''+b v -\frac{w^2}{2}=0, }$

where $a$ and $b$ are positive constants.
Classification : 34A34
Keywords: symmetric positive solutions, variational ODE systems 
Lopes,  Orlando. Uniqueness of a symmetric positive solution to an ODE system. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a69/
@article{EJDE_2009__2009__a69,
     author = {Lopes,  Orlando},
     title = {Uniqueness of a symmetric positive solution to an {ODE} system},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1188.34009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a69/}
}
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