On the oscillation of \(n\)th order dynamic equations on time-scales

DOI10.1007/s00009-012-0201-9zbMath1262.34104OpenAlexW2031378044MaRDI QIDQ1943568

Said R. Grace

Publication date: 20 March 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-012-0201-9

zbMATH Keywords

oscillationdynamic equationtime-scale\(n\)th order

Mathematics Subject Classification ID

Oscillation theory of functional-differential equations (34K11) 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 theorems for higher order dynamic equations with superlinear neutral term ⋮ On oscillatory and asymptotic behavior of a second-order nonlinear damped neutral differential equation ⋮ Philos' inequality on time scales and its application in the oscillation theory ⋮ Oscillatory behavior of solutions of dynamic equations of higher order on time scales ⋮ Oscillation of even order nonlinear dynamic equations on time-scales ⋮ A survey of recent results for the generalizations of ordinary differential equations ⋮ Oscillation criteria of even order delay dynamic equations with nonlinearities given by Riemann-Stieltjes integrals ⋮ Comparison criteria for nonlinear functional dynamic equations of higher order ⋮ Asymptotics and oscillation of \(n\)th-order nonlinear dynamic equations on time scales ⋮ New oscillation results for non-canonical higher order nonlinear neutral dynamic equations ⋮ Comparison theorems for oscillation of second-order neutral dynamic equations ⋮ Oscillation of even order advanced type dynamic equations with mixed nonlinearities on time scales ⋮ On the oscillation certain fourth order nonlinear dynamic equations with a nonlinear middle term

Cites Work

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• Oscillation of \(n\)th order superlinear dynamic equations on time scales
• Oscillation of second-order strongly superlinear and strongly sublinear dynamic equations
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Oscillation and asymptotic behavior for \(n\)-th order nonlinear neutral delay dynamic equations on time scales
• Asymptotic behaviour of bounded solutions of a class of higher-order neutral dynamic equations
• Basic calculus on time scales and some of its applications
• On the oscillation of second-order half-linear dynamic equations1
• Unbounded oscillation of higher-order nonlinear delay dynamic equations of neutral type with oscillating coefficients

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