Oscillation criteria for solutions to nonlinear dynamic equations of higher order

Abstract

In this paper using some new dynamic inequalities we present some oscillation results for higher order dynamic equation {r(n-1) (t) phi(alpha n-1) [(r(n-2) (t) (...(r(1) (t) phi(alpha 1) [x(Delta) (t)])(Delta) ...)(Delta))(Delta)]}(Delta) +p (t) phi(gamma) (x (g (t))) = 0, on an unbounded time scale T. Some new oscillation criteria are obtained using comparison techniques. Some applications illustrating our results are included.