J. Dzurina, Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Kosice, Letna 9, 042 00 Kosice, Slovakia, e-mail: jozef.dzurina@tuke.sk; D. Hudakova-Lackova, Department of Applied Mathematics and Business Informatics, Faculty of Economics, Technical University of Kosice, Nemcovej 32, 040 01 Kosice, Slovakia, e-mail: dasa.hudakova@tuke.sk
Abstract: 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, Baculikova and Lackova. We also make a slight improvement of one assumption in the paper of Xu and Meng.
Keywords: differential equation, oscillation, second order, delay, neutral type, integral averaging method
Classification (MSC 2000): 34C10
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