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Article

Džurina, J. ; Hudáková, D.
Oscillation of second order neutral delay differential equations. (English). Mathematica Bohemica, vol. 134 (2009), issue 1, pp. 31-38
MSC: 34C10 | MR 2504685 | Zbl 1212.34190 | DOI: 10.21136/MB.2009.140637
Keywords:
differential equation; oscillation; second order; delay; neutral type; integral averaging method
Summary:
We establish some new oscillation criteria for the second order neutral delay differential equation $$ [r(t)|[x(t)+p(t)x[\tau (t)]]'|^{\alpha -1} [x(t)+ p(t)x[\tau (t)]]']' +\,q(t)f(x[\sigma (t)])=0. $$ The obtained results supplement those of Dzurina and Stavroulakis, Sun and Meng, Xu and Meng, Baculíková and Lacková. We also make a slight improvement of one assumption in the paper of Xu and Meng.
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