On the Kernel of a Polynomial of Scalar Derivations

On the Kernel of a Polynomial of Scalar Derivations

In this paper, by using a vector variable, the procedure of characteristic systems allows us to describe the kernel of a polynomial of scalar derivations by solving Cauchy Problems for the corresponding system of ODEs. Moreover, a gradient representation for the associated Cauchy Problem solution is...

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Bibliographic Details
Main Author: Savin Treanţă
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Mathematics
Subjects:
scalar derivation
characteristic system
Lie algebra
gradient system
kernel
Online Access:https://www.mdpi.com/2227-7390/8/4/515
Description
Summary:In this paper, by using a vector variable, the procedure of characteristic systems allows us to describe the kernel of a polynomial of scalar derivations by solving Cauchy Problems for the corresponding system of ODEs. Moreover, a gradient representation for the associated Cauchy Problem solution is derived.
ISSN:2227-7390

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