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Stability theory, including global stability (in dynamical systems, where it can notably be used in combination with ds.dynamical-systems)

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Lyapunov stability for nonlinear PDEs

Where can I find a theorem about Lyapunov stability for the equation in Hilbert space? $$ y' = Fy, $$ where $F : V \to V'$ is a nonlinear operator , $y' \in L^2(0,T,V')$, $V$ is a Hilbert space. …
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