Media type: E-Article Title: Stability for Lie–Trotter products for some operator matrix semigroups Contributor: Bátkai, András; Csomós, Petra; Engel, Klaus‐Jochen; Farkas, Bálint imprint: Wiley, 2014 Published in: PAMM Language: English DOI: 10.1002/pamm.201410478 ISSN: 1617-7061 Keywords: General Medicine Origination: Footnote: Description: <jats:title>Abstract</jats:title><jats:p>Coupled systems of linear differential equations in Banach spaces can be often handled by the theory of <jats:italic>C</jats:italic><jats:sub>0</jats:sub>‐semigroups of operator matrices. We study the stability of Lie–Trotter products of such matrix semigroups, and present three classes of examples (abstract delay equations, abstract inhomogeneous equations, abstract dynamic boundary value problems) and some open problems. This survey is based on the papers [1], [2] and [5], to which we refer the interested reader for more details and extensive bibliographical information. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)</jats:p> Access State: Open Access