Nonuniform dichotomy spectrum and reducibility for nonautonomous equations

Abstract

For nonautonomous linear differential equations with nonuniform hyperbolicity, we introduce a definition for nonuniform dichotomy spectrum, which can be seen as a generalization of Sacker-Sell spectrum. We prove a spectral theorem and use the spectral theorem to prove a reducibility result.

arXiv admin note: substantial text overlap with arXiv:1402.1599

Cited by in corpus (1)

• Nonuniform Dichotomy Spectrum and Normal Forms for Nonautonomous Differential Systems