Entire solutions of linear systems of moment differential equations and related asymptotic growth at infinity
Authors
Lastra Sedano, AlbertoIdentifiers
Permanent link (URI): http://hdl.handle.net/10017/55208DOI: 10.1007/s12591-022-00601-2
ISSN: 0971-3514
Publisher
Springer
Date
2022-05-09Funders
Agencia Estatal de Investigación
Universidad de Alcalá
Bibliographic citation
Lastra, A. 2022, "Entire solutions of linear systems of moment differential equations and related asymptotic growth at infinity", Differential Equations and Dynamical Systems.
Keywords
Moment differential system
Strongly regular sequence
Entire solutions
Asymptotic growth
Project
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105621GB-I00/ES/METODOS ASINTOTICOS, ALGEBRAICOS Y GEOMETRICOS EN FOLIACIONES SINGULARES Y SISTEMAS DINAMICOS/
info:eu-repo/grantAgreement/UAH//CM-JIN-2021-014
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/publishedVersion
Publisher's version
https://doi.org/10.1007/s12591-022-00601-2Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
Access rights
info:eu-repo/semantics/openAccess
Abstract
The general entire solution to a linear system of moment differential equations is obtained in terms of a moment kernel function for generalized summability, and the Jordan decomposition of the matrix defining the problem. The growth at infinity of any solution of the system is also determined, both globally and also following rays to infinity, determining the order and type of such solutions.
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