Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations

Abstract

For nonautonomous linear difference equations, we introduce the notion of the so-called nonuniform dichotomy spectrum and prove a spectral theorem. As an application of the spectral theorem, we prove a reducibility result.

Keywords

• dichotomy spectrum
• nonuniform exponential dichotomy
• reducibility
• 37d25
• 37b55