Non-integral criterion for oscillations of linear Hamiltonian matrix systems
type: Item
instance of: scholarly article
title: Non-integral criterion for oscillations of linear Hamiltonian matrix systems
zbMATH Open document ID: 1113.34027
author: Khalil I. T. Al-Dosary
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-12-07T00:00:00Z
review text: The paper deals with the linear Hamiltonian matrix differential systems of the form \[ U'=A(x)U+B(x)V,\;\;V'=C(x)U-A^*(x)V\tag{1} \] under the hypothesis \(A(x), B(x)=B^*(x)>0\), and \(C(x)=C^*(x)\) are \(2\times 2\) matrices of real valued continuous functions on the interval \([a,\infty)\), \(a>-\infty\). Here ``\(^*\)'' stands for the transpose of a matrix. The author presents sufficient conditions (of algebraic type) for the oscillation of the system (1).
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 5077869
zbMATH Keywords: oscillation theory
zbMATH Keywords: matrix system
reviewed by: Jan Ohriska
MaRDI profile type: Publication
full work available at URL: j.jmaa.2005.11.010
OpenAlex ID: W1966988258
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DOI: 10.1016/J.JMAA.2005.11.010
description: scientific article; zbMATH DE number 5077869