Transformations of linear Hamiltonian difference systems and some of their applications
type: Item
instance of: scholarly article
title: Transformations of linear Hamiltonian difference systems and some of their applications
zbMATH Open document ID: 0831.39001
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-02-20T00:00:00Z
review text: The author studies the linear Hamiltonian difference system (LHS) \(\Delta y_n=A_n y_{n+1}+B_n z_n\), \(\Delta z_n=C_n y_{n+1}+A^T_n z_n\), where \(y_n\), \(z_n\) are \(d\)- dimensional \((d\in\mathbb{N})\) sequences, \(A_n\), \(B_n\), \(C_n\) are sequences of real-valued \(d\times d\) matrices, \(A^T_n\) stands for the transpose of the matrix \(A_n\), \(\Delta\) is the usual forward difference operator, \(n\in[M-1,\infty)\), \(M\in\mathbb{N}\). Certain transformations are deduced which transform the above LHS into another LHS.
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 801000
zbMATH Keywords: linear Hamiltonian difference system
zbMATH Keywords: transformations
author: Ondřej Došlý
reviewed by: R. P. Agarwal
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1129
OpenAlex ID: W1975807079
DOI: 10.1006/JMAA.1995.1129
description: scientific article; zbMATH DE number 801000