Corpus ID: 54762477

A Note on the Oscillation of Second-Order Nonlinear Neutral Functional Differential Equations 1

@inproceedings{Xu2008ANO,
  title={A Note on the Oscillation of Second-Order Nonlinear Neutral Functional Differential Equations 1},
  author={Rongcong Xu and Yonghui Xia},
  year={2008}
}

Rongcong Xu, Yonghui Xia

Published 2008

Mathematics

In this paper, some sufficient conditions for oscillation of secondorder nonlinear neutral functional differential equation [x(t )+ p(t)x(t − τ )] �� + q(t)f (x(t − δ)) = 0 ,t ≥ 0 are established, for the case: −1 ≤ p(t) ≤ 0o r 0≤ p(t) < ∞, q(t) is sign-constant. We note that most the references in the literature devoted themselves to considering the case: 0 ≤ p(t) ≤ 1, while there is few paper considering the case: 0 ≤ p(t) < ∞. This paper is devoted to filling this gap. The method is based on… CONTINUE READING

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