On oscillation of differential systems of neutral type

Eva Špániková

Displaying similar documents to “On oscillation of differential systems of neutral type”

Oscillation of differential systems of neutral type

Eva Špániková (2005)

Czechoslovak Mathematical Journal

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We study oscillatory properties of solutions of systems $\begin{matrix} {[y_{1} (t) - a (t) y_{1} (g (t))]}^{'} = & p_{1} (t) y_{2} (t), y_{2}^{'} (t) = & - p_{2} (t) f (y_{1} (h (t))), t \geq t_{0} . \end{matrix}$

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 of a class of higher order neutral differential equations

Pei Guang Wang, Min Wang (2004)

Archivum Mathematicum

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In this paper, we investigate a class of higher order neutral functional differential equations, and obtain some new oscillatory criteria of solutions.

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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