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Lyapunov functions for general nonuniform dichotomies. (English) Zbl 1273.34057
The authors give a constructive characterization for their concept of nonuniform dichotomies for linear finite-dimensional ODEs $$ \dot x=A(t)x $$ by means of Lyapunov functions. As an application, a roughness result is obtained.

34D09Dichotomy, trichotomy
34A30Linear ODE and systems, general
34D10Stability perturbations of ODE
Full Text: DOI
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