Oscillation, nonoscillation, and growth of solutions of nonlinear functional differential equations of arbitrary order

DOI10.1016/0022-247X(77)90029-4zbMath0377.34023MaRDI QIDQ1246651

John R. Graef

Publication date: 1977

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

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) General theory for ordinary differential equations (34A99)

Related Items (12)

Some asymptotic properties of the solutions of perturbed nonlinear differential equations ⋮ Asymptotic and oscilatory behavior of superlinear differential equations with deviating arguments ⋮ Nonoscillation of all solutions of a higher order nonlinear delay dynamic equation on time scales ⋮ Growth Rates of Sublinear Functional and Volterra Differential Equations ⋮ The impact of unbounded swings of the forcing term on the asymptotic behavior of functional equations ⋮ Asymptotic and oscillatory properties of a class of operator-differential inequalities ⋮ Hartman-Wintner growth results for sublinear functional differential equations ⋮ Nonoscillation of higher order functional differential equations ⋮ Oscillatory and asymptotic properties of a class of operator-differential inequalities ⋮ On the Decay of Oscillatory Solutions of a Forced Higher Order Functional Differential Equation ⋮ Nonoscillation, oscillation and growth of solutions of nonlinear difference equations of second order ⋮ Subexponential growth rates in functional differential equations

Cites Work

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• A comparison and oscillation result for second order nonlinear differential equations
• Oscillations of functional differential equations with retarded argument
• Oscillation and asymptotic behavior of solutions of retarded differential equations of arbitrary order
• On the oscillatoriness of the solutions of the equation \([r(t)y^{(n-1)}(t)'+p(t)f(y(\tau (t)))=0\).]
• The effect of the delay on the oscillatory and asymptotic behavior of \(n\)-th order retarded differential equations
• Criteria for oscillation and growth of nonoscillatory solutions of forced differential equations of even order
• Oscillatory and asymptotic behavior of differential equations with deviating arguments
• Forced oscillations for differential equations of arbitrary order
• Further results on oscillation of functional-differential equations
• On n-th-order differential inequalities
• On positive solutions of perturbed nonlinear differential equations
• Oscillations of forced sublinear differential equations of even order
• Oscillatory and asymptotic behavior of sublinear retarded differential equations
• Oscillation of \(n\)th order equations with perturbations
• Oscillation and nonoscillation for perturbed differential equations
• Asymptotic properties of solutions of functional differential equations of arbitrary order
• Oscillation and nonoscillation criteria for nonhomogeneous differential equations
• Oscillation and nonoscillation theorems for second order functional differential equations
• On oscillation of second order retarded equations
• Bounded oscillations of linear and nonlinear delay-differential equations of even order
• Some oscillation criteria for \(n\)-th order nonlinear delay-differential equations
• Oscillations of differential equations with retardations
• Oscillatory properties of a delay differential equation of even order
• On the oscillation of a second order delay equation
• Oscillation generating delay terms in even order retarded equations
• On oscillation of solutions of even order nonlinear differential equations
• Some criteria for second order nonlinear delay-differential equations
• Oscillatory property of ordinary differential equations of arbitrary order
• On oscillatory behavior of even order delay equations
• Oscillations of functional-differential equations generated by delays
• Oscillatory and asymptotic behavior of functional differential equations
• Note on the Ladas' pape r on oscillation and asymptotic behavior of solutions of differential equations with retarded argument
• On oscillatory solutions of second order delay differential inequalities
• Oscillatory properties of solutions of even order differential equations
• Oscillation of solutions of nonlinear differential delay equations of arbitrary order
• Oscillation theorems for delay equations of arbitrary order
• Nonlinear Oscillation of a Sublinear Delay Equation of Arbitrary Order
• Some Oscillation Criteria for Delay-Differential Equations of Even Order
• Perturbations Causing Oscillations of Functional-Differential Equations
• Oscillation Criteria and Growth of Nonoscillatory Solutions of Even Order Ordinary and Delay-Differential Equations
• On the Generalized Emden–Fowler Equation
• On Oscillations for Solutions of nth Order Differential Equations
• Oscillatory and Asymptotic Characterization of the Solutions of Differential Equations with Deviating Arguments
• Oscillation theorems for a damped nonlinear differential equation
• Oscillations ofnth Order Differential Equations with Retarded Argument
• Oscillation theorems for second order differential equations with retarded argument
• Nonoscillatory Solutions of Differential Equations with Retarded Arguments
• Oscillations caused by retarded actions^†
• Sufficient Conditions for Nonoscillation of a Second Order Nonlinear Differential Equation
• An oscillation theorem for differential equations with deviating argument
• Nonoscillation of arbitrary order retarded differential equations of non-homogeneous type
• Oscillation of solutions of the delay differential equation $y^{(2n)}(t)+\sum^m_{i=1}p_i(t) f_j(y[h_i(t))=0$,\quad $n\geq 1$]
• Oscillation, Continuation, and Uniqueness of Solutions of Retarded Differential Equations
• A COMPARISON THEOREM AND APPLICATIONS
• Oscillation and nonoscillation of even-order nonlinear delay-differential equations
• A Necessary and Sufficient Condition for the Oscillation of an Even Order Nonlinear Delay Differential Equation
• OSCILLATIONS OF HIGHER-ORDER RETARDED DIFFERENTIAL EQUATIONS GENERATED BY THE RETARDED ARGUMENT
• OSCILLATIONS OF NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS GENERATED BY RETARDED ACTIONS
• Monotone solutions of some differential equations
• Oscillatory property of certain non-linear ordinary differential equations, II
• Notes on Some Oscillation Criteria
• Oscillation of Solutions of Certain Ordinary Differential Equations of nTH Order
• Nonoscillation Properties of a Nonlinear Differential Equation
• Oscillatory Property of Certain Nonlinear Ordinary Differential Equations
• On the solutions of certain linear nonhomogeneous second-order differential equations
• On the Maintenance of Oscillations under the Effect of a Small Nonlinear Damping
• Maintenance of Oscillations Under the Effect of a Periodic Forcing Term
• Nonlinear Oscillation of a Second Order Sublinear Functional Differential Equation
• Oscillation Theorems for a Second Order Damped Nonlinear Differential Equation
• Oscillation and Nonoscillation of Differential Equations with a Time Lag
• The Effect of Retarded Actions on Nonlinear Oscillations
• A Comparison Theorem for Certain Functional Differential Equations
• The oscillation character of the solutions of the equation $y\sp{(n)}+f(x)y\sp\alpha=0$, $n>1$
• Oscillation and asymptotic behavior of solutions of differential equations with retarded argument
• On the maintenance of oscillations of \(n\)-th order equations under the effect of a small forcing term
• Comparative oscillation of non-homogeneous even order delay differential equations

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