Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 162, pp. 1-8.

Title: Uniqueness of a symmetric positive solution to an ODE system
       
Author: Orlando Lopes (IMEUSP, Sao Paulo, Brazil)

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.