Necessary and Sufficient Conditions for Oscillation of Neutral Delay Differential Equations

نویسندگان

  • SONGBAI GUO
  • WANBIAO MA
  • B. G. SAMPATH
  • ARUNA PRADEEP
چکیده

In this article, we concerned with oscillation of the neutral delay differential equation [x(t) − px(t − τ)]′ + qx(t − σ) = 0 with constant coefficients. By constructing several suitable auxiliary functions, we obtained some necessary and sufficient conditions for oscillation of all the solutions of the aforementioned equation for the cases 0 < p < 1 and p > 1.

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تاریخ انتشار 2014