Solutions of linear systems of moment differential equations via generalized matrix exponentials

A generalized exponential matrix based on the construction of kernel operators for generalized summability is defined and analyzing its main properties, generalizing the classical exponential matrix and fractional exponential matrix. This object serves as a practical tool to express the solutions of...

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Bibliographic Details
Published inJournal of Differential Equations Vol. 372; pp. 591 - 611
Main Authors Lastra, Alberto, Prisuelos-Arribas, Cruz
Format Journal Article
LanguageEnglish
Published Elsevier Inc 05.11.2023
Subjects
Generalized matrix exponential
Kernels for summability
Strongly regular sequence
System moment differential equations
Kernels for summability
System moment differential equations
Strongly regular sequence
34M03
15A16
Generalized matrix exponential
30D15
34A08
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Summary:A generalized exponential matrix based on the construction of kernel operators for generalized summability is defined and analyzing its main properties, generalizing the classical exponential matrix and fractional exponential matrix. This object serves as a practical tool to express the solutions of linear systems of moment differential equations in a compact manner, in the spirit of the classical exponential matrix.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2023.07.012