Oscillation of second-order nonlinear neutral dynamic equations on time scales

Abstract

This paper is concerned with the oscillation of second-order nonlinear neutral dynamic equations of the form r ( t ) ( y ( t ) + p ( t ) y ( τ ( t ) ) ) Δ γ Δ + f ( t , y ( δ ( t ) ) ) = 0 , on a time scale T . By using a generalized Riccati technique and integral averaging techniques, we establish new oscillation results which handle some cases not covered by known criteria.