Integrated Semigroups for abstract differential-algebraic equations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912568791007232 |
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| author | Erbay, Mehmet Jacob, Birgit Reis, Timo |
| author_facet | Erbay, Mehmet Jacob, Birgit Reis, Timo |
| contents | 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 $\frac{d}{d t}x=Ax$, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02814 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Integrated Semigroups for abstract differential-algebraic equations Erbay, Mehmet Jacob, Birgit Reis, Timo Functional Analysis 34A09, 34G20, 47D06 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 $\frac{d}{d t}x=Ax$, 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. |
| title | Integrated Semigroups for abstract differential-algebraic equations |
| topic | Functional Analysis 34A09, 34G20, 47D06 |
| url | https://arxiv.org/abs/2509.02814 |