Exponential dichotomies of linear dynamic equations on measure chains under slowly varying coefficients

Unifying ordinary differential and difference equations, we consider linear dynamic equations on measure chains or time scales, which possess an exponential dichotomy uniformly in a parameter, and show that this dichotomy is robust, if the mentioned parameter changes slowly in time. Here, the equations can be infinite dimensional and are not assumed to be invertible.  2003 Elsevier Inc. All rights reserved.