On the Weierstraß form of infinite dimensional differential algebraic equations
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913429545025536 |
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| author | Erbay, Mehmet Jacob, Birgit Morris, Kirsten |
| author_facet | Erbay, Mehmet Jacob, Birgit Morris, Kirsten |
| contents | The solvability for infinite dimensional differential algebraic equations possessing a resolvent index and a Weierstraß form is studied. In particular, the concept of integrated semigroups is used to determine a subset on which solutions exist and are unique. This information is later used for a important class of systems, namely, port-Hamiltonian differential algebraic equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17560 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Weierstraß form of infinite dimensional differential algebraic equations Erbay, Mehmet Jacob, Birgit Morris, Kirsten Analysis of PDEs Functional Analysis The solvability for infinite dimensional differential algebraic equations possessing a resolvent index and a Weierstraß form is studied. In particular, the concept of integrated semigroups is used to determine a subset on which solutions exist and are unique. This information is later used for a important class of systems, namely, port-Hamiltonian differential algebraic equations. |
| title | On the Weierstraß form of infinite dimensional differential algebraic equations |
| topic | Analysis of PDEs Functional Analysis |
| url | https://arxiv.org/abs/2402.17560 |