TY - JOUR AU - Saker, S. H. AU - Sethi, A. K. AU - Tunc, O. AU - Alzabut, J. PY - 2023 TI - Riccati technique for oscillation of half-linear/Emden-Fowler neutral dynamic equations JO - Journal of Mathematics and Computer Science SP - 387--398 VL - 29 IS - 4 AB - 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 \[ (r(\varrho)((\mathbf{\mathbf{x}}(\varrho)+p(\varrho)\mathbf{x}(\tau (\varrho)))^{\Delta })^{\gamma })^{\Delta }+q(\varrho)\mathbf{x}^{a }(\delta (\varrho))+v(\varrho)\mathbf{x}^{\beta }(\eta (\varrho))=0, \] on a time scale \(\mathcal{T}\), where \(\gamma \), \(a \), and \(\beta \) 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. SN - ISSN 2008-949X UR - https://doi.org/10.22436/jmcs.029.04.07 DO - 10.22436/jmcs.029.04.07 ID - Saker2023 ER -