Oscillatory and nonoscillatory behavior of a second order functional differential equation

DOI10.1216/rmjm/1181072653zbMath0769.34048OpenAlexW2002216629WikidataQ115239919 ScholiaQ115239919MaRDI QIDQ1802692

Mauro Marini, Mariella Cecchi

Publication date: 29 June 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072653

zbMATH Keywords

functional differential equationsoscillatory and nonoscillatory behavior

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) 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 (10)

Global non-monotonicity of solutions to nonlinear second-order differential equations ⋮ Oscillatory and nonoscillatory behavior of second-order functional difference equations ⋮ Unnamed Item ⋮ Oscillation criteria for second-order nonlinear damped differential equations ⋮ Oscillatory and nonoscillatory behavior of second order neutral delay difference equations ⋮ Classifications of solutions of second-order nonlinear neutral differential equations of mixed type ⋮ Oscillation criteria of second-order quasi-linear neutral delay differential equations ⋮ Oscillatory behavior of solutions for a class of second order nonlinear differential equations with perturbation ⋮ Interval oscillation criteria for second order nonlinear delay differential equations ⋮ Unnamed Item

Cites Work

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• On the monotonicity property for a certain class of second order differential equations
• Existence of global solutions with prescribed asymptotic behavior for nonlinear ordinary differential equations
• Integral averaging and the oscillation of second order nonlinear differential equations
• On some properties of solution of second order nonlinear differential equations
• Asymptotic decay of solutions of a nonlinear second-order differential equation with deviating argument
• An application of integral inequality to second order nonlinear oscillation
• On the oscillatory behaviour of a second order nonlinear differential equation
• Some oscillation theorems for second order differential equations
• Oscillation criteria for non-linear second order equations
• Monotone solutions of a class of second order nonlinear differential equations
• On the asymptotic decay of oscillatory solutions of a nonlinear delay equation
• Oscillation Criteria For Second Order Superlinear Differential Equations
• Integral Averages and the Oscillation of Second Order Ordinary Differential Equations
• On the Generalized Emden–Fowler Equation
• The Existence of Continuable Solutions of a Second Order Differential Equation
• Shorter Notes: A Simple Proof of a Well-Known Oscillation Theorem
• Continuability and estimates of solutions of (a(t)ψ(x)x')' + c(t)f(x) = 0

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