Geodesic
Uniqueness of a symmetric positive solution to an ODE system
Electronic Journal of Differential Equations, Tome 2009 (2009).

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

Summary: 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 
@article{EJDE_2009__2009__a169,
     author = {Lopes, Orlando},
     title = {Uniqueness of a symmetric positive solution to an {ODE} system},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a169/}
}
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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__a169/