Oscillation of a differential equation with fractional delay and piecewise constant arguments

DOI10.1016/J.CAMWA.2006.03.032zbMath1132.34047OpenAlexW2033730793WikidataQ115359622 ScholiaQ115359622MaRDI QIDQ2458528

Youbin Wang, Jurang Yan

Publication date: 1 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.03.032

zbMATH Keywords

oscillationpiecewise constant argumentcharacteristic equationsfractional delayimproved \(Z\)-transform

Mathematics Subject Classification ID

Linear functional-differential equations (34K06) Oscillation theory of functional-differential equations (34K11)

Related Items (5)

On numerical approximation using differential equations with piecewise-constant arguments ⋮ Functional Differential Equations with Piecewise Constant Argument ⋮ An affirmative answer to the extended Gopalsamy and Liu's conjecture on the global asymptotic stability in a population model ⋮ Preservation of oscillations of the Runge-Kutta method for equation \(x'(t)+ax(t)+a_1x([t - 1)=0\)] ⋮ Oscillation analysis of numerical solutions in theθ-methods for differential equation of advanced type

Cites Work

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• A necessary and sufficient condition for the oscillation of a delay equation with continuous and piecewise constant arguments
• Oscillations of a delay differential equation with piecewise constant arguments
• Necessary and sufficient conditions for the oscillations of a multiplicative delay logistic equation

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