Entire solutions of linear systems of moment differential equations and related asymptotic growth at infinity
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...
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| Formato: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Recursos: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/55208 |
| Acesso em linha: | http://hdl.handle.net/10017/55208 https://dx.doi.org/10.1007/s12591-022-00601-2 |
| Access Level: | acceso abierto |
| Palavra-chave: | Moment differential system Strongly regular sequence Entire solutions Asymptotic growth Matemáticas Mathematics |
| Resumo: | 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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