2 papers
math.AP2025
Differential algebraic system nodes
Mehmet Erbay, Birgit Jacob, Timo Reis
Infinite-dimensional differential algebraic equations (short DAEs) with input and output are studied. The concepts of operator nodes and system nodes are extended to systems which…
math.FA2025
Integrated Semigroups for abstract differential-algebraic equations
Mehmet Erbay, Birgit Jacob, Timo Reis
We study integrated semigroups for infinite-dimensional differential-algebraic equations (DAEs) admitting a resolvent index. Building on the notion of integrated semigroups for the…