Geodesic
Oscillation of second order neutral delay differential equations
Mathematica Bohemica, Tome 134 (2009) no. 1, pp. 31-38

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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.
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.
DOI : 10.21136/MB.2009.140637
Classification : 34C10
Keywords: differential equation; oscillation; second order; delay; neutral type; integral averaging method 
Džurina, J.; Hudáková, D. Oscillation of second order neutral delay differential equations. Mathematica Bohemica, Tome 134 (2009) no. 1, pp. 31-38. doi: 10.21136/MB.2009.140637
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