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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Bibliographic Details
Published inDifferential equations and dynamical systems Vol. 32; no. 4; pp. 943 - 964
Main Author Lastra, A.
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.10.2024
Springer Nature B.V
Subjects
Computer Science
Differential equations
Engineering
Infinity
Kernel functions
Linear systems
Mathematics
Mathematics and Statistics
Original Research
Strongly regular sequence
Asymptotic growth
34M03
Moment differential system
Entire solutions
30D15
34A08
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-022-00601-2