I'm dealing with the Lyapunov stability theory. I have an SDE and I want to study the stability of an equilibrium, the trivial solution. With the function $V(x)=log(x)$ I reach the result that I want...but this function doesn't satisfies the definition of Lyapunov function ($V(0) \ne 0$). There is some theorem that allow to use it?
2026-03-27 16:37:53.1774629473
Logarithm as Lyapunov function
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