oscillation of two-dimensional neutral delay dynamic systems
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2013
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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.
| Reference Key |
zhang2013advancesoscillation
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|---|---|
| Authors | ;Xinli Zhang;Shanliang Zhu |
| Journal | theater |
| Year | 2013 |
| DOI |
10.1155/2013/871961
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| URL | |
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