On the domain and growth rate of the solutions to linear systems of moment differential equations

The domain of definition of the solutions to linear systems of moment differential equations is provided in terms of the growth of the sequence of moments. The growth rate of the solutions near infinity is described for systems admitting entire solutions: first, in terms of the associated function r...

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Bibliographic Details
Authors: Cáceres, Antonio, Lastra Sedano, Alberto|||0000-0002-4012-6471
Format: article
Publication Date:2026
Country:España
Institution:Universidad de Alcalá (UAH)
Repository:e_Buah Biblioteca Digital Universidad de Alcalá
Language:English
OAI Identifier:oai:dnet:ebuahbibliot::6d7814706ad9bf37b23fcb2100e05743
Online Access:http://hdl.handle.net/10017/69344
https://dx.doi.org/10.1016/j.jmaa.2025.130097
Access Level:Open access
Keyword:Moment differential system
Weight sequence
Entire solutions
Asymptotic growth
Matemáticas
Mathematics
Description
Summary:The domain of definition of the solutions to linear systems of moment differential equations is provided in terms of the growth of the sequence of moments. The growth rate of the solutions near infinity is described for systems admitting entire solutions: first, in terms of the associated function related to a weight sequence; second in terms of the order and type of an entire function. Further information is detailed when considering logarithmic order and types.