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Oscillation criteria for solutions to nonlinear dynamic equations of higher order

O'Regan, Donal
Repository DOI
Publication Date
2016-01-01
Keywords
asymptotic behavior, oscillation, higher order, dynamic equations, dynamic inequality, time scales, time scales
Type
Article
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Citation
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
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.
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Publisher
Hacettepe Journal of Mathematics and Statistics
Publisher DOI
10.15672/hjms.20164512495
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)