Electron. J. Diff. Equ., Vol. 2009(2009), No. 162, pp. 1-8.

Uniqueness of a symmetric positive solution to an ODE system

Orlando Lopes

Abstract:
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.

Submitted October 9, 2009. Published December 21, 2009.
Math Subject Classifications: 34A34.
Key Words: Symmetric positive solutions; variational ODE systems.

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Orlando Lopes
IMEUSP- Rua do Matao, 1010, Caixa postal 66281
CEP: 05315-970, Sao Paulo, SP, Brazil
email: olopes@ime.usp.br

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