Stability and oscillation of neutral delay differential equations with piecewise constant argument

zbMath0723.34059MaRDI QIDQ757709

E. C. Partheniadis

Publication date: 1988

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

oscillationasymptotic stabilityfirst order neutral delay differential equation with piecewise constant argument

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Neutral functional-differential equations (34K40) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (12)

Oscillation in neutral delay difference equations with variable coefficients ⋮ Explicit conditions for the oscillation of difference equations ⋮ Oscillations and asymptotic stability of solutions of first order neutral differential equations with piecewise constant argument ⋮ Unnamed Item ⋮ Complete characterizations of a class of oscillatory difference equations ⋮ Oscillations in a class of difference equations ⋮ Dynamics of the difference equation \(x_{n+1}=\frac{x_n+p x_{n-k}}{x_n+q}\) ⋮ Existence and uniqueness of periodic solutions for a second-order nonlinear differential equation with piecewise constant argument ⋮ Asymptotic Behavior of a Linear Delay Difference Equation ⋮ Unnamed Item ⋮ Almost-periodic solutions to neutral differential-difference equations with piecewise constant arguments ⋮ Oscillations in difference equations with periodic coefficients

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