A pseudo-resolvent approach to abstract differential-algebraic equations
Functional Analysis
2023-12-06 v1
Abstract
We study linear abstract differential-algebraic equations (ADAEs), and we introduce an index concept which is based on polynomial growth of a~pseudo-resolvent. Our approach to solvability analysis is based on degenerate semigroups. We apply our results to some examples such as distributed circuit elements, and a system obtained by heat-wave coupling.
Cite
@article{arxiv.2312.02303,
title = {A pseudo-resolvent approach to abstract differential-algebraic equations},
author = {Hannes Gernandt and Timo Reis},
journal= {arXiv preprint arXiv:2312.02303},
year = {2023}
}