Journal of Mathematics and Computer Science, cilt.29, sa.4, ss.387-398, 2023 (ESCI)
© 2023 All rights reserved.By using the Riccati technique, which reduces the higher order dynamic equations to a Riccati dynamic inequality, we will establish some new sufficient conditions for the oscillation of half-linear/Emden-Fowler neutral dynamic equation of the form (Formula presented), on a time scale T, where γ, a, and β are quotients of odd positive integers. An example with particular equation is constructed in consistent to the above equation and oscillation criteria are established for its solution.