A necessary and sufficient condition for the oscillation in a class of even order neutral differential equations.

Tanaka, Satoshi

Displaying similar documents to “A necessary and sufficient condition for the oscillation in a class of even order neutral differential equations.”

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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On oscillation of differential systems of neutral type

Eva Špániková (2004)

Archivum Mathematicum

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We study oscillatory properties of solutions of the systems of differential equations of neutral type.

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.

Oscillation criteria for even order neutral equations with distributed deviating argument.

Zhang, Siyu, Meng, Fanwei (2010)

International Journal of Differential Equations

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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.