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A Lyapunov function for pullback attractors of nonautonomous differential equations. (English) Zbl 0964.34041
Summary: The construction of a Lyapunov function characterizing the pullback attractor of a cocycle dynamical system is presented. This system is the state space component of a skew-product flow generated by a nonautonomous differential equation that is driven by an autonomous dynamical system on a metric space.

MSC:
34D45 Attractors of solutions to ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
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