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Displaying 1581 – 1600 of 1670

Oscillation theorems for certain nonlinear differential equations with deviating arguments

Said R. Grace, Bikkar S. Lalli (1986)

Czechoslovak Mathematical Journal

Oscillation theorems for neutral differential equations of higher order

Jozef Džurina (2004)

Czechoslovak Mathematical Journal

In this paper we present some new oscillatory criteria for the $n$ -th order neutral differential equations of the form ${(x (t) \pm p (t) x [τ (t)])}^{(n)} + q (t) x [σ (t)] = 0 .$ The results obtained extend and improve a number of existing criteria.

Oscillation theorems for neutral differential equations with the quasi-derivatives

Miroslava Růžičková, E. Špániková (1994)

Archivum Mathematicum

The authors study the n-th order nonlinear neutral differential equations with the quasi – derivatives $L_{n} [x (t) + {(- 1)}^{r} P (t) x (g (t))] + δ Q (t) f (x (h (t))) = 0,$ where $n \geq 2, r \in {1, 2},$ and $δ = \pm 1 .$ There are given sufficient conditions for solutions to be either oscillatory or they converge to zero.

Oscillation theorems for nonlinear differential equations of second order.

Manojlović, Jelena V. (2000)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Oscillation theorems for nonlinear second order differential equations with a damping term

Said R. Grace, Bikkar S. Lalli (1989)

Commentationes Mathematicae Universitatis Carolinae

Oscillation Theorems for Perturbed Second Order Nonlinear Differential Equations with Damping

Elabbasy, E. (1997)

Serdica Mathematical Journal

Some oscillation criteria for solutions of a general perturbed second order ordinary differential equation with damping (r(t)x′ (t))′ + h(t)f (x)x′ (t) + ψ(t, x) = H(t, x(t), x′ (t)) with alternating coefficients are given. The results obtained improve and extend some existing results in the literature.

Oscillation theorems for second order nonlinear delay inequalities

Ján Seman (1989)

Mathematica Slovaca

Oscillation theorems for second order nonlinear differential equations with deviating arguments.

Grace, S.R., Lalli, B.S. (1987)

International Journal of Mathematics and Mathematical Sciences

Oscillation Theorems for Second Order Sublinear Ordinary Differential Equations

Elabbasy, E. (1997)

Serdica Mathematical Journal

Oscillation criteria are given for the second order sublinear non-autonomous differential equation. (r(t) (x)x′(t))′ + q(t)g(x(t)) = (t). These criteria extends and improves earlier oscillation criteria of Kamenev, Kura, Philos and Wong. Oscillation criteria are also given for second order sublinear damped non-autonomous differential equations.