Oscillation criteria of third-order nonlinear damped dynamic equations on time scales (Q1723236)

Summary: We establish oscillation criteria of third-order nonlinear damped dynamic equations on time scales of the form \(\left(r_1 \left(t\right) \left(r_2 \left(t\right) \left(x^{\Delta} \left(t\right)\right)^\gamma\right)^{\Delta}\right)^{\Delta} + f \left(t, x \left(t\right), x^\sigma \left(t\right), x \left(g \left(t\right)\right), x^{\Delta} \left(t\right)\right) = 0\) by employing functions in some function classes and the generalized Riccati transformation. Two examples are given to show the significance of the conclusions.