Oscillation of two-dimensional neutral delay dynamic systems
type: Item
instance of: scholarly article
title: Oscillation of two-dimensional neutral delay dynamic systems
zbMATH Open document ID: 1272.34124
DOI: 10.1155/2013/871961
author: Shanliang Zhu
author: Xinli Zhang
published in: Advances in Mathematical Physics
publication date: 2013-06-07T00:00:00Z
review text: Summary: We consider the class of nonlinear two-dimensional dynamic systems of neutral type \[ (x(t) - a(t)x(\tau_1(t)))^\Delta = p(t)f_1(y(t)), \] \[ y^\Delta(t) = -q(t)f_2(x(\tau_2(t))). \] We obtain sufficient conditions for all solutions of the system to be oscillatory. Our oscillation results when \(a(t) = 0\) improve the oscillation results for dynamic systems on time scales that have been established by \textit{S.-C. Fu} and \textit{M.-L. Lin} [Comput. Math. Appl. 59, No. 8, 2552--2565 (2010; Zbl 1193.34181)]. Some examples are given to illustrate the main results.
Mathematics Subject Classification ID: 34N05
Mathematics Subject Classification ID: 34K11
zbMATH DE Number: 6171646
Wikidata QID: Q58918893
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/871961
OpenAlex ID: W2036445528
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description: scientific article; zbMATH DE number 6171646