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arXiv · 2511.06302

On linear systems of moment differential equations with singularities of the first kind

Alberto Lastra·Cruz Prisuelos-Arribas·Victor Soto-Larrosa
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Abstract

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.

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Alberto Lastra, Cruz Prisuelos-Arribas, Victor Soto-Larrosa. 2025-11-09. On linear systems of moment differential equations with singularities of the first kind. https://arxiv.org/abs/2511.06302

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