Lyapunovs second method for nonautonomous differential equations

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Abstract

Converse Lyapunov theorems are presented for nonautonomous systems modelled as skew product flows. These characterize various types of stability of invariant sets and pullback, forward and uniform attractors in such nonautonomous systems.

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Grüne, L., Kloeden, P. E., Siegmund, S., & Wirth, F. R. (2007). Lyapunovs second method for nonautonomous differential equations. In Discrete and Continuous Dynamical Systems (Vol. 18, pp. 375–403). Southwest Missouri State University. https://doi.org/10.3934/dcds.2007.18.375

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