Oscillation for Third‐Order Nonlinear Differential Equations with Deviating Argument

Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá and Mauro Marini

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: We study necessary and sufficient conditions for the oscillation of the third‐order nonlinear ordinary differential equation with damping term and deviating argument x‴(t) + q(t)x′(t) + r(t)f(x(φ(t))) = 0. Motivated by the work of Kiguradze (1992), the existence and asymptotic properties of nonoscillatory solutions are investigated in case when the differential operator ℒx = x‴ + q(t)x′ is oscillatory.

Date: 2010
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https://doi.org/10.1155/2010/278962

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:278962

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