English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

For nonautonomous linear difference equations with bounded coefficients on$\mathbb{N}$ which have a bounded inverse, we introduce two different notionsof spectra and discuss their relation to the well-known exponential dichotomyspectrum. The first new spectral notion is called Bohl spectrum and is based onan extended notion of the concept of Bohl exponents. The second new spectralnotion is called Bohl dichotomy spectrum and is based on a relaxed version ofexponential dichotomy called Bohl dichotomy. We prove spectral theorems andshow that the Bohl dichotomy spectrum is the closure of the Bohl spectrum andalso a subset of the exponential dichotomy spectrum. We discuss the spectra ofupper triangular systems and how they relate to the spectra of their diagonalentries. An example illustrates the subtle differences between the differentnotions of spectra.

Spectra based on Bohl exponents and Bohl dichotomy for nonautonomous difference equations