Oscillation theorems for fourth-order half-linear delay dynamic equations with damping

DOI10.1007/s00009-013-0310-0zbMath1417.34155OpenAlexW2032829253MaRDI QIDQ2454111

Ravi P. Agarwal, Tongxing Li, Chenghui Zhang, Martin J. Bohner

Publication date: 12 June 2014

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

Full work available at URL: https://doi.org/10.1007/s00009-013-0310-0

zbMATH Keywords

delay equationoscillatory solutiontime scalefourth-order equationdynamic equation with damping

Mathematics Subject Classification ID

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

Related Items (8)

Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales ⋮ Oscillation criteria for nonlinear third-order neutral dynamic equations with damping on time scales ⋮ Asymptotic properties of solutions to fourth-order difference equations on time scales ⋮ Asymptotic behavior of fourth-order neutral dynamic equations with noncanonical operators ⋮ New oscillation criteria for higher order delay dynamic equations on time scales ⋮ Oscillation for higher order dynamic equations on time scales ⋮ Oscillation criteria for fourth-order nonlinear dynamic equations on time scales ⋮ Necessary and sufficient conditions for oscillation of fourth order dynamic equations on time scales

Cites Work

• Oscillation results for third order nonlinear delay dynamic equations on time scales
• Oscillation results for fourth-order nonlinear dynamic equations
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations
• Hille and Nehari type criteria for third-order dynamic equations
• Oscillation of second-order damped dynamic equations on time scales
• Oscillation criteria for second-order nonlinear neutral delay dynamic equations
• Oscillation and asymptotic behavior of third-order nonlinear retarded dynamic equations
• Oscillation of third order nonlinear delay dynamic equations on time scales
• Oscillation criteria for nonlinear damped dynamic equations on time scales
• Oscillation of second-order nonlinear delay dynamic equations on time scales
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