Oscillation and a Class of Linear Delay Differential Equations

DOI10.2307/1997958zbMath0355.34059OpenAlexW4245936322MaRDI QIDQ4126728

David Lowell Lovelady

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1997958

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 (12)

Oscillation criteria for retarded differential equations with a nonlinear damping term ⋮ Comparison theorems for the oscillation of higher order difference equations with deviating arguments ⋮ Oscillatory and asymptotic behavior of delay differential equations with a nonlinear damping term ⋮ Characterization of oscillation of solutions of the delay equation \(x^{(n)}(t)+a(t)f(x(q(t)))=0\) ⋮ Oscillation theorems for a second order delay differential equation ⋮ Oscillatory properties of strongly superlinear differential equations with deviating arguments ⋮ Oscillation of functional differential equations with deviating arguments ⋮ Unnamed Item ⋮ Characterization of oscillation of solutions of the delay equation \(x^{(n)}(t)+a(t)f(x(q(t)))=0\) ⋮ On almost oscillation of functional differential equations with deviating arguments ⋮ Nonoscillatory solutions of linear differential equations with deviating arguments ⋮ Nonlinear delay differential inequalities

Cites Work

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• The effect of the delay on the oscillatory and asymptotic behavior of \(n\)-th order retarded differential equations
• An asymptotic analysis of an odd order linear differential equation
• Oscillation and a class of odd order linear differential equations
• Oscillation and even order linear differential equations
• Oscillation criteria for even order differential equations
• Nonlinear Oscillation of a Sublinear Delay Equation of Arbitrary Order
• Oscillatory and Asymptotic Characterization of the Solutions of Differential Equations with Deviating Arguments
• Oscillation, Continuation, and Uniqueness of Solutions of Retarded Differential Equations
• OSCILLATIONS OF HIGHER-ORDER RETARDED DIFFERENTIAL EQUATIONS GENERATED BY THE RETARDED ARGUMENT
• A Note on an Oscillation Criterion for an Equation with a Functional Argument
• Linear Differential and Difference Equations with Monotone Solutions

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