Oscillation and asymptotic behavior of second order neutral differential equations

DOI10.1007/BF01774281zbMath0647.34071OpenAlexW1964708558MaRDI QIDQ1104475

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

Publication date: 1987

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01774281

zbMATH Keywords

nonoscillatory solutionsneutral delay differential equationsecond order differential equation

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (15)

Oscillation criteria for a class of nonlinear neutral differential equations ⋮ Oscillatory and asymptotic behaviour of a nonlinear second order neutral differential equation ⋮ Necessary and sufficient conditions for oscillations of neutral differential equations ⋮ Oscillation criteria of a class of second-order neutral functional-differential equations. ⋮ Asymptotic behavior of nonoscillatory solutions to \(n\)-th order nonlinear neutral differential equations ⋮ On the existence of asymptotically decaying positive solutions of second order neutral differential equations ⋮ On the oscillation of an \(n\)th-order nonlinear neutral delay differential equation ⋮ Oscillation theorems for second order neutral functional differential equations ⋮ Oscillation criteria for second order nonlinear neutral differential equations ⋮ Oscillations of mixed neutral functional differential equations ⋮ Unnamed Item ⋮ An oscillation theorem for a class of even order neutral differential equations ⋮ Oscillation theorems for certain neutral differential equations ⋮ On the asymptotic behavior of solutions of a second order nonlinear neutral delay differential equation ⋮ Asymptotic and oscillatory behavior of solutions of first order nonlinear neutral delay differential equations

Cites Work

• Unnamed Item
• Differential-difference equations
• Oscillations of first order neutral delay differential equations
• Theory of functional differential equations. 2nd ed
• Existence and continuous dependence of solutions of a neutral functional- differential equation
• On the numerical integration of a symmetric system of difference- differential equations of neutral type
• Asymptotic stability criteria for linear systems of difference- differential equations of neutral type and their discrete analogues
• A mixed neutral system
• Oscillations of Neutral Delay Differential Equations
• Oscillation and asymptotic behavior of neutral differential equations with deviating arguments
• On Delay Differential Inequalities of Higher Order
• Oscillating properties of the solutions of a class of neutral type functional differential equations

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