Oscillation of solution to second-order half-linear delay dynamic equations on time scales

Abstract

This article concerns the oscillation of solutions to second-order half-linear dynamic equations with a variable delay. By using integral averaging techniques and generalized Riccati transformations, new oscillation criteria are obtained. Our results extend Kamenev-type, Philos-type and Li-type oscillation criteria. Several examples are given to illustrate our results.

Keywords

• Half-linear
• oscillation
• variable delay
• time scales