4.7 Article

Oscillation of third-order nonlinear damped delay differential equations

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 278, Issue -, Pages 21-32

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2015.12.036

Keywords

Oscillation; Delay; Third order; Functional differential equation

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This paper is concerned with the oscillation of certain third-order nonlinear delay differential equations with damping. We give new characterizations of oscillation of the third-order equation in terms of oscillation of a related, well-studied, second-order linear differential equation without damping. We also establish new oscillation results for the third-order equation by using the integral averaging technique due to Philos. Numerous examples are given throughout. (C) 2015 Elsevier Inc. All rights reserved.

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