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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2401.01771 |
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| _version_ | 1866929196812468224 |
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| author | Erbay, Mehmet Jacob, Birgit Morris, Kirsten Reis, Timo Tischendorf, Caren |
| author_facet | Erbay, Mehmet Jacob, Birgit Morris, Kirsten Reis, Timo Tischendorf, Caren |
| contents | Different index concepts for linear differential-algebraic equations are defined in the general Banach space setting, and compared. For regular finite-dimensional linear differential-algebraic equations, all these indices exist and are equivalent. For infinite-dimensional systems, the situation is more complex. It is proven that although some indices imply others, in general they are not equivalent. The situation is illustrated with a number of examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01771 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Index concepts for linear differential-algebraic equations in finite and infinite dimensions Erbay, Mehmet Jacob, Birgit Morris, Kirsten Reis, Timo Tischendorf, Caren Dynamical Systems Different index concepts for linear differential-algebraic equations are defined in the general Banach space setting, and compared. For regular finite-dimensional linear differential-algebraic equations, all these indices exist and are equivalent. For infinite-dimensional systems, the situation is more complex. It is proven that although some indices imply others, in general they are not equivalent. The situation is illustrated with a number of examples. |
| title | Index concepts for linear differential-algebraic equations in finite and infinite dimensions |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2401.01771 |