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Oscillation criteria for solutions to nonlinear dynamic equations of higher order
O'Regan, Donal
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.
Keyword(s): asymptotic behavior; oscillation; higher order; dynamic equations; dynamic inequality; time scales
Publication Date:
2018
Type: Journal article
Peer-Reviewed: Unknown
Institution: NUI Galway
Publisher(s): Hacettepe Journal of Mathematics and Statistics
First Indexed: 2019-03-23 06:25:48 Last Updated: 2019-03-23 06:25:48