Oscillatory behavior in linear difference equations under unmodeled dynamics and parametrical errors
type: Item
instance of: scholarly article
title: Oscillatory behavior in linear difference equations under unmodeled dynamics and parametrical errors
zbMATH Open document ID: 1295.70010
DOI: 10.1155/2007/25692
published in: Mathematical Problems in Engineering
publication date: 2008-08-13T00:00:00Z
review text: Summary: This paper investigates the presence of oscillating solutions in time-varying difference equations even in the case when there exist parametrical errors (i.e., errors in the sequences defining their coefficients) and/or unmodeled dynamics, namely, the current order is unknown and greater than the nominal known order. The formulation is related to the concepts of conjugacy, disconjugacy, positivity, and generalized zeros and general conditions of oscillation are obtained both over particular intervals and for the whole solution. Some results concerned with the presence of stable oscillations are also presented.
Mathematics Subject Classification ID: 70J50
Mathematics Subject Classification ID: 39A21
zbMATH DE Number: 5311277
zbMATH Keywords: conjugacy
zbMATH Keywords: positivity
zbMATH Keywords: generalized zeros
zbMATH Keywords: stable oscillations
Wikidata QID: Q57675442
author: M. De la Sen
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2007/25692
OpenAlex ID: W2147309306
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description: scientific article; zbMATH DE number 5311277