Smooth linearization of nonautonomous differential equations with a nonuniform dichotomy
Smooth linearization of nonautonomous differential equations with a nonuniform dichotomy
In this paper we give a smooth linearization theorem for nonautonomous differential equations with a nonuniform strong exponential dichotomy. In terms of discretized evolution operator with hyperbolic fixed point 0, we formulate its spectrum and then give a spectral bound condition for the linearization of such equations to be simultaneously …