Oscillatory criteria for third-order superlinear neutral delay dynamic equations on time scales with distributed deviating arguments

This paper investigates the oscillation and asymptotic behavior of solutions to a class of third-order superlinear neutral dynamic equations on time scales with distributed deviating arguments. For the canonical, non-canonical, and two semi-canonical cases of the coefficients, we establish new oscillation criteria by means of generalized Riccati transformations and integral averaging techniques. The results significantly extend and improve upon existing ones in the literature. Several examples are provided to illustrate the main theorems.