Linearization of class \(C^{1}\) for contractions on Banach spaces
The goal of the authors is to obtain \(C^1\)-linearization results in infinite dimensions for contractions with as less as possible nonresonance conditions. The authors make a systematic use of the contraction principle in an appropriate Banach space and the invariant manifold theorem. Moreover, they present an application of their result to systems of abstract damped wave equations.
scientific article; zbMATH DE number 2085857
scientific article