On linear systems of moment differential equations with singularities of the first kind
Complex Variables
2025-11-11 v1 Classical Analysis and ODEs
Abstract
The solution to systems of moment differential equations of the form are provided, for a matrix with general good spectrum. Existence and convergence of Floquet-type solutions is studied. A generalized definition of is given, as a tool to solve the main problem whenever . The theory is illustrated with examples which are important in applications.
Keywords
Cite
@article{arxiv.2511.06302,
title = {On linear systems of moment differential equations with singularities of the first kind},
author = {Alberto Lastra and Cruz Prisuelos-Arribas and Victor Soto-Larrosa},
journal= {arXiv preprint arXiv:2511.06302},
year = {2025}
}