Oscillation Theorems for Second-Order Differential Equations with Functional Arguments

DOI10.2307/2038542zbMath0235.34141OpenAlexW4239699783MaRDI QIDQ5644413

Curtis C. Travis

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2038542

Mathematics Subject Classification ID

Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (21)

Oscillation theorems for second order functional differential equations ⋮ Oscillation of solutions of second-order neutral delay differential equations with integrable coefficients ⋮ An oscillation theorem ⋮ Asymptotics for third-order nonlinear differential equations: Non-oscillatory and oscillatory cases ⋮ Interval criteria for oscillation of second-order nonlinear neutral differential equations ⋮ An oscillation criterion for second order nonlinear differential equations with functional arguments ⋮ Bounded oscillation of a forced nonlinear neutral differential equation ⋮ On oscillation of second order neutral type delay differential equations. ⋮ Oscillatory theorems for second-order neutral delay differential equations ⋮ Unnamed Item ⋮ An oscillation theorem for differential equations with deviating argument ⋮ Characterization of oscillation of solutions of the delay equation \(x^{(n)}(t)+a(t)f(x(q(t)))=0\) ⋮ An oscillation criterion for functional differential equations with deviating arguments ⋮ Some oscillation theorem for differential equations with functional arguments ⋮ On nonoscillation of canonical or noncanonical disconjugate functional equations ⋮ Oscillation criteria for second order quasilinear neutral delay differential equations ⋮ Oscillation theorems for nth-order functional differential equations ⋮ Characterization of oscillation of solutions of the delay equation \(x^{(n)}(t)+a(t)f(x(q(t)))=0\) ⋮ Oscillation and asymptotic behavior of bounded solutions of functional differential equations with delay ⋮ Oscillation and nonoscillation theorems for second order functional differential equations ⋮ Bounded oscillations of linear and nonlinear delay-differential equations of even order

Cites Work

• Some oscillation theorems for second order differential equations
• Oscillation theorems for a second-order delay equation
• The detection of the oscillation of solutions of a second order linear differential equation
• Oscillation Criteria for Second-Order Linear Differential Equations
• A Note on an Oscillation Criterion for an Equation with a Functional Argument
• A criterion of oscillatory stability
• On the Non-Existence of Conjugate Points

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