Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument-Reference-Cited by-同舟云学术

Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument

Published:2010 Issue: Volume:2010 Page:1-19
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Bartušek Miroslav¹,Cecchi Mariella²,Došlá Zuzana¹,Marini Mauro²

Affiliation:

1. Department of Mathematics and Statistics, Masaryk University, CZ-61137 Brno, Czech Republic

2. Department of Electronic and Telecommunications, University of Florence, I-50139 Florence, Italy

Abstract

We study necessary and sufficient conditions for the oscillation of the third-order nonlinear ordinary differential equation with damping term and deviating argumentx‴(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 operatorℒx=x‴+q(t)x′is oscillatory.

Funder

Ministry of Education of the Czech Republic

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2010/278962.pdf

Reference20 articles.

1. Oscillation criteria for third-order nonlinear differential equations

2. On Third Order Differential Equations with Property A and B

3. Asymptotic properties of solutions of third-order nonlinear differential equations with deviating argument

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