Existence stability and oscillation of the solutions of first order neutral delay differential equations with piecewise constant argument

DOI10.1080/00036819208840070zbMath0739.34061OpenAlexW1987368274MaRDI QIDQ4711148

John Schinas, Garyfalos Papaschinopoulos

Publication date: 25 June 1992

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819208840070

zbMATH Keywords

stabilityexistenceuniquenessoscillatory behaviorfirst order neutral delay differential equation with piecewise constant argument

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40) General theory of functional-differential equations (34K05) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

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Existence theorem of periodic solutions for a delay nonlinear differential equation with piecewise constant arguments, Periodic solutions of a neutral differential equation with piecewise constant arguments, Existence and uniqueness of periodic solutions for a second-order nonlinear differential equation with piecewise constant argument, Periodic positive solutions for a delay nonlinear differential equation with piecewise constant arguments., A new almost-periodic-type solution to first-order neutral delay differential equations with piecewise constant argument, Unnamed Item, Oscillatory and nonoscillatory delay equations with piecewise constant argument

Cites Work

• Retarded differential equations with piecewise constant delays
• Oscillations and asymptotic stability of solutions of first order neutral differential equations with piecewise constant argument