On the oscillation of certain second order nonlinear dynamic equations

DOI10.1016/j.mcm.2008.12.007zbMath1185.34041OpenAlexW2020882107MaRDI QIDQ969877

Said R. Grace, Ravi P. Agarwal, Wichuta Sae-Jie, Billur Kaymakçalan

Publication date: 8 May 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2008.12.007

zbMATH Keywords

oscillationdynamic equationnonoscillationhalf-linear

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamic equations on time scales or measure chains (34N05)

Related Items (21)

New Kamenev-type oscillation criteria for second-order nonlinear advanced dynamic equations ⋮ Kamenev-type oscillation criteria for higher-order nonlinear dynamic equations on time scales ⋮ Oscillation and nonoscillation of certain second order quasilinear dynamic equations ⋮ Improved oscillation criteria for second order quasilinear dynamic equations of noncanonical type ⋮ Oscillation of even order nonlinear dynamic equations on time-scales ⋮ Nonlinear second order delay dynamic equations on time scales: new oscillatory criteria ⋮ Nonoscillatory solutions for higher-order neutral dynamic equations on time scales ⋮ Oscillation of higher order nonlinear dynamic equations on time scales ⋮ Unnamed Item ⋮ New oscillation results for non-canonical higher order nonlinear neutral dynamic equations ⋮ New oscillatory results for non-linear delay dynamic equations with super-linear neutral term ⋮ Oscillation criteria for second-order quasi-linear delay dynamic equations on time scales ⋮ Unnamed Item ⋮ Asymptotic behaviors of higher order nonlinear dynamic equations on time scales ⋮ Oscillatory behavior of quasilinear neutral delay dynamic equations on time scales ⋮ Comparison theorems for oscillation of second-order neutral dynamic equations ⋮ Asymptotic behavior of solutions of higher-order dynamic equations on time scales ⋮ Oscillation for higher order dynamic equations on time scales ⋮ Nonoscillation for higher-order nonlinear delay dynamic equations on time scales ⋮ Existence of the nonoscillatory solutions of higher order neutral dynamic equations on time scales ⋮ Oscillation theorems for second-order half-linear advanced dynamic equations on time scales

Cites Work

• The oscillation of certain higher-order functional differential equations
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Oscillation criteria for second-order nonlinear delay dynamic equations
• Oscillation criteria for a class of second-order Emden-Fowler delay dynamic equations on time scales
• Oscillation of second order nonlinear dynamic equations on time scales
• Comparison theorems for linear dynamic equations on time scales.
• Philos-type oscillation criteria for second order half-linear dynamic equations on time scales
• On the Oscillation of Certain Second Order Difference Equations
• The oscillation of perturbed functional differential equations
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