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 n rn−1(t) φαn−1 h (rn−2(t)(...(r1(t)φα1 [x ∆(t)])∆...) ∆) ∆ io∆ +p (t) φγ (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.