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Zbl 1192.34074
Han, Zhenlai; Li, Tongxing; Sun, Shurong; Chen, Weisong
On the oscillation of second-order neutral delay differential equations.
(English)
[J] Adv. Difference Equ. 2010, Article ID 289340, 8 p. (2010). ISSN 1687-1847/e

Summary: Some new oscillation criteria for the second-order neutral delay differential equation $$(r(t)z'(t))'+q(t)x(\sigma(t))=0,\quad t\ge t_0$$ are established, where $$\int^\infty_0(1/r(t))\,dt=\infty,\quad z(t)=x(t)+p(t)x(\tau(t)),\quad 0\le p(t)\le p_0<\infty,\quad q(t)>0.$$ These oscillation criteria extend and improve some known results. An example is considered to illustrate the main results.
MSC 2000:
*34K11 Oscillation theory of functional-differential equations
34K40 Neutral equations
34N05

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