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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Detalles Bibliográficos
Autores: Cáceres, Antonio, Lastra Sedano, Alberto|||0000-0002-4012-6471
Tipo de recurso: artículo
Fecha de publicación:2026
País:España
Institución:Universidad de Alcalá (UAH)
Repositorio:e_Buah Biblioteca Digital Universidad de Alcalá
Idioma:inglés
OAI Identifier:oai:dnet:ebuahbibliot::6d7814706ad9bf37b23fcb2100e05743
Acceso en línea:http://hdl.handle.net/10017/69344
https://dx.doi.org/10.1016/j.jmaa.2025.130097
Access Level:acceso abierto
Palabra clave:Moment differential system
Weight sequence
Entire solutions
Asymptotic growth
Matemáticas
Mathematics
Descripción
Sumario: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.