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  "body": "\n## Summary\n\nA Lyapunov function for an equilibrium of a differential equation is a scalar function with three properties. It is zero at the equilibrium, positive away from it, and non-increasing along solutions.\nIts existence proves stability without solving the equation. It is named after Aleksandr Lyapunov. See the [[definition|04P7B5XC22]].\n",
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