Oscillation criteria for solutions to nonlinear dynamic equations of higher order
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2016-01-01Author
O'Regan, Donal
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O'Regan, Donal (2016). Oscillation criteria for solutions to nonlinear dynamic equations of higher order. Hacettepe Journal of Mathematics and Statistics 45 (2), 417-427
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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.