On oscillation criteria for third order nonlinear delay differential equations

Ravi P. Agarwal; Mustafa F. Aktas; Aydın Tiryaki

Displaying similar documents to “On oscillation criteria for third order nonlinear delay differential equations”

Sufficient conditions for oscillatory behaviour of a first order neutral difference equation with oscillating coefficients.

Rath, R.N., Misra, N., Rath, S.K. (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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On the oscillation of third-order quasi-linear neutral functional differential equations

Ethiraju Thandapani, Tongxing Li (2011)

Archivum Mathematicum

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The aim of this paper is to study asymptotic properties of the third-order quasi-linear neutral functional differential equation ${[a (t) {({[x (t) + p (t) x (δ (t))]}^{''})}^{α}]}^{'} + q (t) x^{α} (τ (t)) = 0, E$ where $α > 0$ , $0 \leq p (t) \leq p_{0} < \infty$ and $δ (t) \leq t$ . By using Riccati transformation, we establish some sufficient conditions which ensure that every solution of () is either oscillatory or converges to zero. These results improve some known results in the literature. Two examples are given to illustrate the main results.

Oscillation criteria for second-order neutral differential equations with distributed deviating arguments.

Gui, Gaihua, Xu, Zhiting (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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On third order advanced nonlinear differential equations

Mojsej, Ivan, Ohriska, Ján

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On the oscillation of certain second-order differential equations.

Agarwal, Ravi P., Grace, S.R. (2000)

Georgian Mathematical Journal

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