On linear systems of moment differential equations with singularities of the first kind
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917069690241024 |
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| author | Lastra, Alberto Prisuelos-Arribas, Cruz Soto-Larrosa, Victor |
| author_facet | Lastra, Alberto Prisuelos-Arribas, Cruz Soto-Larrosa, Victor |
| contents | The solution to systems of moment differential equations of the form $z\partial_my=(zA+B)y$ are provided, for a matrix $B$ with general good spectrum. Existence and convergence of Floquet-type solutions is studied. A generalized definition of $z^B$ is given, as a tool to solve the main problem whenever $A\equiv 0$. The theory is illustrated with examples which are important in applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06302 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On linear systems of moment differential equations with singularities of the first kind Lastra, Alberto Prisuelos-Arribas, Cruz Soto-Larrosa, Victor Complex Variables Classical Analysis and ODEs The solution to systems of moment differential equations of the form $z\partial_my=(zA+B)y$ are provided, for a matrix $B$ with general good spectrum. Existence and convergence of Floquet-type solutions is studied. A generalized definition of $z^B$ is given, as a tool to solve the main problem whenever $A\equiv 0$. The theory is illustrated with examples which are important in applications. |
| title | On linear systems of moment differential equations with singularities of the first kind |
| topic | Complex Variables Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2511.06302 |