Mert, RaziyePeterson, AllanZafer, AgacikErbe, Lynn2017-03-142025-09-182017-03-142025-09-182013Erbe, L...et al. (2013). Oscillation of even order nonlinear delay dynamic equations on time scales. Czechoslovak Mathematical Journal, 63(1), 265-279.0011-46421572-9141https://doi.org/10.1007/s10587-013-0017-1https://hdl.handle.net/20.500.12416/11188Zafer, Agacik/0000-0001-8446-1223One of the important methods for studying the oscillation of higher order differential equations is to make a comparison with second order differential equations. The method involves using Taylor's Formula. In this paper we show how such a method can be used for a class of even order delay dynamic equations on time scales via comparison with second order dynamic inequalities. In particular, it is shown that nonexistence of an eventually positive solution of a certain second order delay dynamic inequality is sufficient for oscillation of even order dynamic equations on time scales. The arguments are based on Taylor monomials on time scales.eninfo:eu-repo/semantics/openAccessTime ScaleEven OrderDelayOscillationTaylor MonomialOscillation of Even Order Nonlinear Delay Dynamic Equations on Time ScalesOscillation of even order nonlinear delay dynamic equations on time scalesArticle10.1007/s10587-013-0017-12-s2.0-84875469477