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arXiv · 2312.02303

A pseudo-resolvent approach to abstract differential-algebraic equations

Hannes Gernandt·Timo Reis
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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.

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BibTeXRIS

Hannes Gernandt, Timo Reis. 2023-12-04. A pseudo-resolvent approach to abstract differential-algebraic equations. https://arxiv.org/abs/2312.02303

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