Budde, ChristianChristianBuddeSeifert, ChristianChristianSeifert2024-10-232024-10-232024-07-01Analysis Mathematica 50 (3): 733-755 (2024)https://hdl.handle.net/11420/49820In this paper we present time-dependent perturbations of second-order non-autonomous abstract Cauchy problems associated to a family of operators with constant domain. We make use of the equivalence to a first-order non-autonomous abstract Cauchy problem in a product space, which we elaborate in full detail. As an application we provide a perturbed non-autonomous wave equation.en1588-273X20243733755Springer Science Business Media B.V.https://creativecommons.org/licenses/by/4.0/34G1035L0547A5547D0947Dxxabstract Cauchy problemnon-autonomousperturbationsecond-orderNatural Sciences and Mathematics::510: MathematicsJournal Article10.15480/882.1357310.1007/s10476-024-00035-810.15480/882.13573Journal Article