Interval Oscillation Criteria for Second-Order Forced Functional Dynamic Equations on Time Scales

Abstract EN

This paper is concerned with oscillation of second-order forced functional dynamic equations of the form (r(t)(xΔ(t))γ)Δ+∑i=0nqi(t)|x(δi(t))|αisgn x(δi(t))=e(t) 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.