Oscillation Criteria of Third-Order Nonlinear Damped Dynamic Equations on Time Scales

Abstract

We establish oscillation criteria of third-order nonlinear damped dynamic equations on time scales of the form r1tr2txΔtγΔΔ+ft, xt,xσt, xgt, xΔt=0 by employing functions in some function classes and the generalized Riccati transformation. Two examples are given to show the significance of the conclusions.