Oscillation of third-order nonlinear delay dynamic equation with damping term on time scales

DOI10.1007/S12190-017-1158-4zbMath1403.34071OpenAlexW2773381230MaRDI QIDQ1786975

Zhenlai Han, Ying Sui

Publication date: 25 September 2018

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-017-1158-4

zbMATH Keywords

oscillationdelaydampingtime scales

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Oscillation theory of functional-differential equations (34K11) Dynamic equations on time scales or measure chains (34N05) Averaging for functional-differential equations (34K33)

Related Items (5)

Oscillatory and asymptotic behavior of third-order neutral delay differential equations with distributed deviating arguments ⋮ Oscillation of third-order neutral differential equations with damping and distributed delay ⋮ Oscillation criteria of third-order neutral differential equations with damping and distributed deviating arguments ⋮ Oscillation criteria for third-order neutral differential equations with unbounded neutral coefficients and distributed deviating arguments ⋮ Oscillation and asymptotic behavior of the third-order neutral differential equation with damping and distributed deviating arguments

Cites Work

• A functional generalization of the reverse Hölder integral inequality on time scales
• Existence theorems for first-order equations on time scales with \(\Delta \)-Carathéodory functions
• Oscillation for nonlinear second order dynamic equations on a time scale
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Oscillation for second-order nonlinear delay dynamic equations on time scales
• Oscillation theorems for linear differential equations of second order
• Oscillation of third order nonlinear delay dynamic equations on time scales
• An oscillation theorem for second order superlinear dynamic equations on time scales
• Oscillation criteria for nonlinear damped dynamic equations on time scales
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