Integral averaging techniques for oscillation of second order nonlinear differential equations with damping.

Manojlović, Jelena

Displaying similar documents to “Integral averaging techniques for oscillation of second order nonlinear differential equations with damping.”

Oscillation criteria for a certain second-order nonlinear differential equations with deviating arguments.

Tiryaki, Aydin (2009)

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

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

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

Commentationes Mathematicae Universitatis Carolinae

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Oscillation results for second order nonlinear differential equations

Jozef Džurina, Dáša Lacková (2004)

Open Mathematics

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In this paper, the authors present some new results for the oscillation of the second order nonlinear neutral differential equations of the form ${(r (t) ψ (x (t)) {[x (t) + p (t) x (τ (t))]}^{'})}^{'} + q (t) f (x [σ (t)]) = 0$ . Easily verifiable criteria are obtained that are also new for differential equations without neutral term i.e. for p(t)≡0.

Oscillations of n-th order retarded differential equations.

Yeh, Cheh-Chih (1981)

Publications de l'Institut Mathématique. Nouvelle Série

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Oscillation theorems for certain even order neutral differential equations

Qi Gui Yang, Sui-Sun Cheng (2007)

Archivum Mathematicum

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This paper is concerned with a class of even order nonlinear differential equations of the form $\frac{d}{d t} (| {(x (t) + p (t) x (τ (t)))}^{(n - 1)} |^{α - 1} {(x (t) + p (t) x (τ (t)))}^{(n - 1)}) + F (t, x (g (t))) = 0,$ where $n$ is even and $t \geq t_{0}$ . By using the generalized Riccati transformation and the averaging technique, new oscillation criteria are obtained which are either extensions of or complementary to a number of existing results. Our results are more general and sharper than some previous results even for second order equations.

On the oscillatory behavior of solutions of second order nonlinear differential equations

John R. Graef, Paul W. Spikes (1986)

Czechoslovak Mathematical Journal

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Oscillation criteria for second order nonlinear differential equations

Blanka Baculíková (2006)

Archivum Mathematicum

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Our aim in this paper is to present criteria for oscillation of the nonlinear differential equation $u^{''} (t) + p (t) f (u (g (t))) = 0 .$ The obtained oscillatory criteria improve existing ones.