Explicit solution of an initial problem for a matrix differential equation involving three matrices with a single time lag

An explicit solution is derived for the initial problem of a second-order linear matrix differential equation with constant coefficients, involving three matrices with a single time lag. Connections with earlier results are highlighted, and potential directions for future research are indicated.

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Publication Details

Journal
Bulletin of Mathematical Sciences
Published
2026-01-22
DOI
https://doi.org/10.1142/s1664360726500049
Primary Topic
Matrix Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

Explicit solution of an initial problem for a matrix differential equation involving three matrices with a single time lag

Witold Majdak, Marek Galewski, Josef Diblík
Bulletin of Mathematical Sciences
Matrix Theory and Algorithms
article

Explicit solution of an initial problem for a matrix differential equation involving three matrices with a single time lag

Witold Majdak, Marek Galewski, Josef Diblík
article en

Abstract

An explicit solution is derived for the initial problem of a second-order linear matrix differential equation with constant coefficients, involving three matrices with a single time lag. Connections with earlier results are highlighted, and potential directions for future research are indicated.

Bulletin of Mathematical Sciences
Lodz University of Technology (PL), Brno University of Technology (CZ), AGH University of Krakow (PL)
Openalex Percentile: Top 78%
Matrix Theory and Algorithms
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