Integral averaging technique and oscillation of certain even order delay differential equations

DOI10.1016/J.JMAA.2003.11.054zbMath1062.34072OpenAlexW2003632449MaRDI QIDQ1826774

Yong Xia, Zhi Ting Xu

Publication date: 6 August 2004

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.2003.11.054

zbMATH Keywords

OscillationDelay differential equationEven order

Mathematics Subject Classification ID

Oscillation theory of functional-differential equations (34K11)

Related Items (12)

Neutral differential equations with noncanonical operator: oscillation behavior of solutions ⋮ Oscillation criteria for certain even order quasi-linear neutral differential equations with deviating arguments ⋮ Improved criteria for oscillation of noncanonical neutral differential equations of even order ⋮ Oscillation criteria of fourth-order differential equations with delay terms ⋮ Properties of higher-order half-linear functional differential equations with noncanonical operators ⋮ Oscillation criteria for certain even order neutral delay differential equations with mixed nonlinearities ⋮ Different techniques for studying oscillatory behavior of solution of differential equations ⋮ On the oscillation of higher-order half-linear delay differential equations ⋮ Oscillation criteria for even-order half-linear functional differential equations with damping ⋮ Oscillation and asymptotic behavior for \(n\)-th order nonlinear neutral delay dynamic equations on time scales ⋮ Oscillation theorems for certain even order nonlinear damped differential equations ⋮ Oscillation criteria for certain even order quasilinear difference equations

Cites Work

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• Oscillation and non-oscillation theorems for a class of second order quasilinear differential equations
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• Oscillatory and asymptotic behavior of delay differential equations with a nonlinear damping term
• Remarks on some oscillation theorems for nth-order differential equations with a retarded argument
• Oscillation theorems for certain functional differential equations
• Summation averages and the oscillation of second-order nonlinear difference equations
• Oscillation criteria for second-order retarded differential equations
• Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations
• Oscillation Criteria of Comparison Type for Nonlinear Functional Differential Equations
• Oscillation criteria for certain \(n\)th order differential equations with deviating arguments

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