Oscillation criteria of second order nonlinear matrix differential systems
type: Item
instance of: scholarly article
title: Oscillation criteria of second order nonlinear matrix differential systems
zbMATH Open document ID: 1074.34041
author: Wenying Shi
author: Peiguang Wang
published in: Applied Mathematics and Computation
publication date: 2004-11-23T00:00:00Z
review text: The authors establish new oscillation criteria for the second-order nonlinear matrix differential system \[ (P(t)Y'(t))'+F(t,Y(t),Y'(t))=0, \quad t\geq t_0, \] where \(P(t)\), \(Y(t)\) and \(F(t,Y(t),Y'(t))\) are real continuous \(n\times n\)-matrix functions, and \(P(t)>0\) is a positive definite and symmetric one. The used method is based on a parameter function \(h(t,s)\) and the Riccati transformation. The obtained results generalize and improve some known results in the literature.
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 2118012
zbMATH Keywords: nonlinear
zbMATH Keywords: matrix differential system
zbMATH Keywords: oscillation
zbMATH Keywords: Riccati transformation
reviewed by: Zuzana Došlá
MaRDI profile type: Publication
full work available at URL: j.amc.2003.06.009
OpenAlex ID: W1993809440
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DOI: 10.1016/J.AMC.2003.06.009
description: scientific article; zbMATH DE number 2118012