Oscillation for a nonlinear dynamic system with a forced term on time scales
type: Item
instance of: scholarly article
title: Oscillation for a nonlinear dynamic system with a forced term on time scales
zbMATH Open document ID: 1474.34248
DOI: 10.1155/2014/747838
author: Shanliang Zhu
author: Xinli Zhang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We consider a class of two-dimensional nonlinear dynamic system with a forced term on a time scale \(\mathbb{T}\) and obtain sufficient conditions for all solutions of the system to be oscillatory. Our results not only unify the oscillation of two-dimensional differential systems and difference systems but also improve the oscillation results that have been established by Saker, 2005, since our results are not restricted to the case where \(b(t) \neq 0\) for all \(t \in \mathbb{T}\) and \(g(u) = u\). Some examples are given to illustrate the results.
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34N05
zbMATH DE Number: 7023010
Wikidata QID: Q59041200
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/747838
OpenAlex ID: W1992283415
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description: scientific article; zbMATH DE number 7023010