Oscillation criteria for second-order nonlinear neutral variable delay dynamic equations

This paper is concerned with oscillation of second-order nonlinear neutral dynamic equations on time scales with a variable delay. By using the generalized Riccati technique and integral averaging technique, new oscillation criteria are obtained for all solutions of the equation. Some results extend known results for difference equations when the time scale is the set Z+Z+ of positive integers and for differential equations when the time scale is RR. Several examples are given to illustrate the results of the paper.