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
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2013:y:2013:i:1:n:871961

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