Integrated Semigroups for abstract differential-algebraic equations
Functional Analysis
2025-09-04 v1
Abstract
We study integrated semigroups for infinite-dimensional differential-algebraic equations (DAEs) admitting a resolvent index. Building on the notion of integrated semigroups for the abstract Cauchy problem , we extend this concept to the DAE setting. The resulting framework is used to analyze inhomogeneous DAEs and plays a central role in characterizing their solutions.
Cite
@article{arxiv.2509.02814,
title = {Integrated Semigroups for abstract differential-algebraic equations},
author = {Mehmet Erbay and Birgit Jacob and Timo Reis},
journal= {arXiv preprint arXiv:2509.02814},
year = {2025}
}