Uniqueness of a symmetric positive solution to an ODE system

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.

Keywords

• Symmetric positive solutions
• variational ODE systems