Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales

Abstract EN

This paper is concerned with oscillation of second-order nonlinear dynamic equations of the form (r(t)((y(t)+p(t)y(τ(t)))Δ)γ)Δ+f1(t,y(δ1(t)))+f2(t,y(δ2(t)))=0 on time scales.

By using a generalized Riccati technique and integral averaging techniques, we establish new oscillation criteria which handle some cases not covered by known criteria.