Generalized Philos-type oscillation criteria for second order nonlinear neutral delay dynamic equations on time scales

DOI10.1016/j.aml.2016.01.006zbMath1335.34143OpenAlexW2289677564MaRDI QIDQ253918

Zhan Zhou, Xun-Huan Deng, Q. R. Wang

Publication date: 8 March 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.01.006

zbMATH Keywords

generalized Riccati transformationPhilos-type oscillation criteriasecond order nonlinear neutral delay dynamic equations

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Oscillation theory of functional-differential equations (34K11) Neutral functional-differential equations (34K40) Dynamic equations on time scales or measure chains (34N05)

Related Items (6)

Oscillation criteria for second order neutral dynamic equations of Emden-Fowler type with positive and negative coefficients on time scales ⋮ Philos-type oscillation criteria for linear differential equations with impulsive effects ⋮ Oscillation and nonoscillation theorems of neutral dynamic equations on time scales ⋮ The asymptotic behavior and oscillation for a class of third-order nonlinear delay dynamic equations ⋮ Boolean discrete network and dynamic equations to control parking fees ⋮ Oscillation of nonlinear neutral dynamic equations on time scales

Cites Work

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• Oscillation theorems for linear differential equations of second order
• Oscillation criteria for second-order dynamic equations on time scales
• Oscillation of second-order nonlinear neutral delay dynamic equations on time scales
• A criterion of oscillatory stability
• Oscillation criteria for half-linear second order differential equations

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