Linear transformation and oscillation criteria for Hamiltonian systems
type: Item
instance of: scholarly article
title: Linear transformation and oscillation criteria for Hamiltonian systems
zbMATH Open document ID: 1124.34021
author: Zhaowen Zheng
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-05-23T00:00:00Z
review text: The author studies the linear Hamiltonian system \[ x'=A(t)x+B(t)u, \qquad u'=C(t)x-A^*(t)u, \] where \(A(t)\), \(B(t)\), \(C(t)\) are real \(n\times n\) matrix-valued functions, \(B\) and \(C\) are Hermitian, \(B\) is positive definite. Using a transformation which preserves oscillation properties of this system, the author derives new oscillation criteria from known oscillation criteria of other authors.
reviewed by: Robert Mařík
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 5156420
zbMATH Keywords: linear transformation
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: oscillation criteria
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.10.034
OpenAlex ID: W2006178731
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DOI: 10.1016/J.JMAA.2006.10.034
description: scientific article; zbMATH DE number 5156420