Title

Oscillation of Third-Order Nonlinear Damped Delay Differential Equations

Abstract

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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Damping; Differential equations; Delay; Delay differential equations; Functional differential equations; Integral averaging technique; Nonlinear delay differential equation; Oscillation; Second order linear differential equation; Third order; Nonlinear equations

International Standard Serial Number (ISSN)

0096-3003

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2016 Elsevier, All rights reserved.

Publication Date

01 Mar 2016

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