The Liouville theorem for infinite-dimensional Hamilton-Dirac systems
type: Item
instance of: scholarly article
title: The Liouville theorem for infinite-dimensional Hamilton-Dirac systems
zbMATH Open document ID: 0978.37052
author: O. G. Smolyanov
author: S. Albeverio
published in: Doklady Mathematics
publication date: 2001-02-13T00:00:00Z
review text: This paper deals with the Liouville theorem for infinite-dimensional Hamilton-Dirac systems and follows the work of Dirac. Here the central role is played by the concepts of a vector-valued first integral and the Poisson bracket for vector-valued functions. The authors show that their Liouville theorem for Hamilton-Dirac systems describes the set of all solutions to the Cauchy problem for the Hamilton-Dirac system.
Mathematics Subject Classification ID: 37K05
Mathematics Subject Classification ID: 70H05
zbMATH DE Number: 1564431
zbMATH Keywords: Liouville theorem
zbMATH Keywords: infinite-dimensional Hamilton-Dirac systems
zbMATH Keywords: Poisson bracket
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1564431