Oscillation of Two‐Dimensional Neutral Delay Dynamic Systems
Xinli Zhang and
Shanliang Zhu
Advances in Mathematical Physics, 2013, vol. 2013, issue 1
Abstract:
We consider a class of nonlinear two‐dimensional dynamic systems of the neutral type (x(t) − a(t)x(τ1(t))) Δ = p(t)f1(y(t)), yΔ(t) = −q(t)f2(x(τ2(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 Fu and Lin (2010), since our results do not restrict to the case where f(u) = u. Also, as a special case when 𝕋 = ℝ, our results do not require an to be a positive real sequence. Some examples are given to illustrate the main results.
Date: 2013
References: Add references at CitEc
Citations:
Downloads: (external link)
https://doi.org/10.1155/2013/871961
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2013:y:2013:i:1:n:871961
Access Statistics for this article
More articles in Advances in Mathematical Physics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().