Oscillation and asymptotic behavior for \(n\)-th order nonlinear neutral delay dynamic equations on time scales

DOI10.1007/s10440-008-9341-0zbMath1210.34132OpenAlexW2072745096MaRDI QIDQ973777

Da-Xue Chen

Publication date: 26 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9341-0

zbMATH Keywords

asymptotic behavioroscillationtime scaleshigher-ordernonlinear neutral delay dynamic equations

Mathematics Subject Classification ID

Oscillation theory of functional-differential equations (34K11) Neutral functional-differential equations (34K40) Dynamic equations on time scales or measure chains (34N05)

Related Items (14)

Oscillation criteria for higher‐order nonlinear dynamic equations with Laplacians and a deviating argument on time scales ⋮ Oscillation of second-order nonlinear dynamic equations with positive and negative coefficients ⋮ Philos' inequality on time scales and its application in the oscillation theory ⋮ On the oscillation of \(n\)th order dynamic equations on time-scales ⋮ Sufficient conditions for the oscillation and asymptotic behaviour of higher-order dynamic equations of neutral type ⋮ Oscillation of two-dimensional neutral delay dynamic systems ⋮ Nonoscillatory solutions for higher-order neutral dynamic equations on time scales ⋮ Oscillation criteria of even order delay dynamic equations with nonlinearities given by Riemann-Stieltjes integrals ⋮ Nonoscillation of higher order neutral dynamic equations on time scales ⋮ Asymptotic behaviors of higher order nonlinear dynamic equations on time scales ⋮ Asymptotic behavior of solutions of higher-order dynamic equations on time scales ⋮ Oscillation and nonoscillation criteria for nonlinear dynamic systems on time scales ⋮ Existence of the nonoscillatory solutions of higher order neutral dynamic equations on time scales ⋮ Oscillatory behaviour of higher-order nonlinear neutral delay dynamic equations on time scales

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