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2010 Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument
Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá, Mauro Marini
Abstr. Appl. Anal. 2010: 1-19 (2010). DOI: 10.1155/2010/278962

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 x = x + q ( t ) x is oscillatory.

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Miroslav Bartušek. Mariella Cecchi. Zuzana Došlá. Mauro Marini. "Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument." Abstr. Appl. Anal. 2010 1 - 19, 2010. https://doi.org/10.1155/2010/278962

Information

Published: 2010
First available in Project Euclid: 2 March 2010

zbMATH: 1192.34073
MathSciNet: MR2587610
Digital Object Identifier: 10.1155/2010/278962

Rights: Copyright © 2010 Hindawi

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