The goal of this work is to establish new criteria for oscillation of all solutions to a general third-order functional dynamic equation on time scales of the form \(\begin{aligned} \left( r_{2}(\nu )\left[ \left( r_{1}(\nu )\left( y^{\Delta }(\nu )\right) ^{\alpha _{1}}\right) ^{\Delta }\right] ^{\alpha _{2}}\right) ^{\Delta }+q(\nu ) y^{\beta }(\tau (\nu ))=0. \end{aligned}\) The used approach mainly employs comparison principles with first-order dynamic equations and the Riccati-type substitution technique. The results are illustrated by three examples.
