Oscillations of first order neutral delay differential equations

DOI10.1016/0022-247X(86)90172-1zbMath0566.34056MaRDI QIDQ1059205

E. A. Grove, Gerasimos E. Ladas, Myron K. Grammatikopoulos

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

first order neutral delay differential equations

Mathematics Subject Classification ID

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

Related Items (33)

On the behavior of solutions of a first order nonlinear neutral delay differential equation ⋮ Necessary and sufficient conditions for oscillations of neutral differential equations ⋮ Oscillation and asymptotic behavior of second order neutral differential equations ⋮ Oscillations in Neutral Equations with Periodic Coefficients ⋮ Necessary and sufficient conditions for oscillations of neutral equations with several coefficients ⋮ Oscillations and asymptotic behavior of first-order neutral delay differential equations ⋮ Sufficient conditions for oscillation and existence of positive solutions ⋮ Convergence and divergence of the solutions of a neutral difference equation ⋮ Time elements and oscillatory fluctuations in the Keynesian macroeconomic system ⋮ Some further results on oscillations for neutral delay differential equations with variable coefficients ⋮ Necessary and sufficient conditions for zero crossing in integrodifferential equations ⋮ Conditions for oscillation of first order neutral delay differential equations ⋮ Unnamed Item ⋮ On the oscillation of an \(n\)th-order nonlinear neutral delay differential equation ⋮ Asymptotic properties of solutions for first-order neutral differential equations with distributed deviating arguments. ⋮ Oscillations of delay differential equations with variable coefficients ⋮ Oscillation criteria for linear neutral delay differential equations of first order ⋮ Oscillation of first order delay differential equations ⋮ Oscillation criteria of first order neutral delay differential equations with variable coefficients ⋮ Oscillation of Solutions to Nonlinear Neutral Delay Differential Equations ⋮ Oscillation and nonoscillation in first order neutral differential equations ⋮ On the relative controllability of neutral delay differential equations ⋮ Oscillations of retarded differential equations of the neutral and the mixed types ⋮ An extension of the characterization of oscillations to arbitrary functional differential equations via the Laplace transform ⋮ Sufficient conditions for oscillation and nonoscillation of neutral equations ⋮ Unnamed Item ⋮ Oscillation of first order neutral functional differential equations ⋮ Neutral delay differential equations with positive and negative coefficients ⋮ Oscillations of neutral differential equations with variable coefficients ⋮ Oscillation and asymptotic behavior of neutral differential equations with deviating arguments ⋮ On the asymptotic behavior of solutions of a second order nonlinear neutral delay differential equation ⋮ An oscillation test for a class of linear neutral differential equations ⋮ Asymptotic and oscillatory behavior of solutions of first order nonlinear neutral delay differential equations

Cites Work

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• On the numerical integration of a symmetric system of difference- differential equations of neutral type
• A mixed neutral system
• Oscillations of Neutral Delay Differential Equations
• Oscillating properties of the solutions of a class of neutral type functional differential equations
• Oscillations caused by several retarded and advanced arguments

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