Hille and Nehari type criteria for third-order dynamic equations

DOI10.1016/j.jmaa.2006.06.033zbMath1128.39009OpenAlexW1978603909MaRDI QIDQ868770

Lynn H. Erbe, Samir H. Saker, Allan C. Peterson

Publication date: 26 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.033

zbMATH Keywords

oscillationtime scalethird order differential equationscorresponding difference equationsthird order dynamic equation

Mathematics Subject Classification ID

Related Items (50)

Oscillation criteria for third-order functional half-linear dynamic equations ⋮ A Philos-type theorem for third-order nonlinear retarded dynamic equations ⋮ Oscillation criteria for a class of third-order Emden-Fowler delay dynamic equations with sublinear neutral terms on time scales ⋮ On oscillatory behaviour of third-order half-linear dynamic equations on time scales ⋮ Oscillation criteria for certain third-order delay dynamic equations ⋮ Some oscillation criteria for a class of higher order nonlinear dynamic equations with a delay argument on time scales ⋮ Oscillation of third order nonlinear delay dynamic equations on time scales ⋮ Properties of third-order half-linear dynamic equations with an unbounded neutral coefficient ⋮ Oscillatory and asymptotic behavior of nonlinear functional dynamic equations of third order ⋮ Oscillation criteria for higher order nonlinear dynamic equations ⋮ Hille and Nehari-type oscillation criteria for third-order Emden-Fowler neutral delay dynamic equations ⋮ Oscillation criteria for some new generalized Emden-Fowler dynamic equations on time scales ⋮ Oscillation of second-order Emden-Fowler neutral delay dynamic equations on time scales ⋮ On the oscillation for third-order nonlinear neutral delay dynamic equations on time scales ⋮ Oscillation of third order nonlinear functional dynamic equations on time scales ⋮ Kamenev-type oscillation criteria for higher-order nonlinear dynamic equations on time scales ⋮ Nehari-type oscillation theorems for second order functional dynamic equations ⋮ Oscillation of third-order functional dynamic equations on time scales ⋮ Oscillatory behavior for certain higher order p$$ p $$‐Laplacians functional dynamic equations of neutral type on time scales ⋮ The asymptotic behavior and oscillation for a class of third-order nonlinear delay dynamic equations ⋮ Comparison criteria for odd order forced nonlinear functional neutral dynamic equations ⋮ Oscillation criteria of third-order nonlinear impulsive differential equations with delay ⋮ On oscillations of solutions of third-order dynamic equation ⋮ Nonoscillatory solutions for higher-order neutral dynamic equations on time scales ⋮ New oscillatory behavior of third-order nonlinear delay dynamic equations on time scales ⋮ Oscillation theorems for fourth-order half-linear delay dynamic equations with damping ⋮ Oscillation criteria for third-order neutral dynamic equations with continuously distributed delay ⋮ New oscillation criteria for higher order delay dynamic equations on time scales ⋮ Asymptotic behaviors of higher order nonlinear dynamic equations on time scales ⋮ Oscillation behavior of third-order neutral Emden-Fowler delay dynamic equations on time scales ⋮ Asymptotic behavior of solutions of higher-order dynamic equations on time scales ⋮ Hille-Nehari theorems for dynamic equations with a time scale independent critical constant ⋮ Asymptotic behavior of solutions for third-order half-linear delay dynamic equations on time scales ⋮ Oscillation and asymptotic behavior for \(n\)-th order nonlinear neutral delay dynamic equations on time scales ⋮ Oscillation for higher order dynamic equations on time scales ⋮ Oscillatory and asymptotic properties on a class of third nonlinear dynamic equations with damping term on time scales ⋮ Oscillation of third order functional dynamic equations with mixed arguments on time scales ⋮ Oscillation of fourth-order delay dynamic equations ⋮ Oscillation results for fourth-order nonlinear dynamic equations ⋮ Oscillation criteria for certain third-order variable delay functional dynamic equations on time scales ⋮ Asymptotic properties of third-order half-linear neutral dynamic equations with mixed arguments ⋮ Nonoscillation for higher-order nonlinear delay dynamic equations on time scales ⋮ Asymptotic properties of solutions of third-order nonlinear neutral dynamic equations ⋮ Existence of the nonoscillatory solutions of higher order neutral dynamic equations on time scales ⋮ Asymptotic properties of solutions of certain third-order dynamic equations ⋮ Oscillation criteria for fourth-order nonlinear dynamic equations on time scales ⋮ Asymptotic behaviour of bounded solutions of a class of higher-order neutral dynamic equations ⋮ Hille and Nehari type criteria for third-order delay dynamic equations ⋮ Oscillation and asymptotic behavior of third-order nonlinear retarded dynamic equations ⋮ Properties of third-order nonlinear delay dynamic equations with positive and negative coefficients

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