Oscillation of Nonlinear Neutral Delay Differential Equations

Elabbasy, E. M.; Hassan, T. S.

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Oscillation of nonlinear neutral delay differential equations of second order

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Oscillation criteria, extended Kamenev and Philos-type oscillation theorems for the nonlinear second order neutral delay differential equation with and without the forced term are given. These results extend and improve the well known results of Grammatikopoulos et. al., Graef et. al., Tanaka for the nonlinear neutral case and the recent results of Dzurina and Mihalikova for the neutral linear case. Some examples are considered to illustrate our main results.

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Wan-Tong Li, S. H. Saker (2001)

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We consider nonlinear neutral delay differential equations with variable coefficients. Finite and infinite integral conditions for oscillation are obtained. As an example, the neutral delay logistic differential equation is discussed.

On oscillation of a kind of integro-differential equation with delay

Binggen Zhang (1988)

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Binggen Zhang (1988)

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This note contains a criterion for the oscillation of solution of a kind of integro-differential equations with delay.

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Our aim in this paper is to present the relationship between property (B) of the third order equation with delay argument y'''(t) - q(t)y(τ(t)) = 0 and the oscillation of the second order delay equation of the form y''(t) + p(t)y(τ(t)) = 0.

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Oscillatory behaviour of solutions of forced neutral differential equations

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Sufficient conditions are obtained for oscillation of all solutions of a class of forced nth order linear and nonlinear neutral delay differential equations. Also, asymptotic behaviour of nonoscillatory solutions of a class of forced first order neutral equations is studied.

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Oscillations of neutral differential systems

Bozena Mihalíková (1999)

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The aim of this paper is to present the sufficient conditions for oscillation of solutions of the system of differential equations of neutral type.

Oscillation Criteria for First Order Delay Differential Equations

Elabbasy, E., Hassan, T. (2004)

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2000 Mathematics Subject Classification: 34K15. This paper is concerned with the oscillatory behavior of first-order delay differential equation of the form x'(t) + p(t)x (τ(t)) = 0.