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

The solution to systems of moment differential equations of the form z∂my=(zA+B)y is provided, for a matrix B with general good spectrum. Existence and convergence of Floquet-type solutions is studied. A generalized definition of zB is given, as a tool to solve the main problem whenever A≡0. The theory is illustrated with examples which are important in applications.

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Publication Details

Journal
Linear and Multilinear Algebra
Published
2026-07-22
DOI
https://doi.org/10.1080/03081087.2026.2705865
Primary Topic
Matrix Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Alberto Lastra, Cruz Prisuelos-Arribas, Víctor Soto-Larrosa
Linear and Multilinear Algebra
Matrix Theory and Algorithms
article

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

Alberto Lastra, Cruz Prisuelos-Arribas, Víctor Soto-Larrosa
article en

Abstract

The solution to systems of moment differential equations of the form z∂my=(zA+B)y is provided, for a matrix B with general good spectrum. Existence and convergence of Floquet-type solutions is studied. A generalized definition of zB is given, as a tool to solve the main problem whenever A≡0. The theory is illustrated with examples which are important in applications.

Linear and Multilinear Algebra
Universidad de Alcalá (ES), Universidad Europea (MX), Universidad Europea de Madrid (ES)
Openalex Percentile: Top 6%
Matrix Theory and Algorithms
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