Oscillation theorems for second order neutral dynamic equations with maxima and mixed arguments on time scales

Abstract

In this work, we establish new oscillation criteria for the second order neutral dynamic equation with maxima and mixed arguments of the form: (Figure presented.) where (Figure presented.) New comparison theorems are obtained that allow us to examine the oscillation of the given second order dynamic equation by examining the oscillatory behavior of first order dynamic ones. The obtained results extend and complement some known ones in literature. Examples are given to illustrate the importance of our results.