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

We study non-self-adjoint Hamiltonian systems on Sturmian time scales,defining Weyl-Sims sets, which replace the classical Weyl circles, and amatrix-valued $M-$function on suitable cone-shaped domains in the complexplane. Furthermore, we characterize realizations of the corresponding dynamicoperator and its adjoint, and construct their resolvents. Even-order scalarequations and the Orr-Sommerfeld equation on time scales are given as examplesillustrating the theory, which are new even for difference equations. Theseresults unify previous discrete and continuous theories to dynamic equations onSturmian time scales.

Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems on Sturmian time scales