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.
Recommended Citation
M. Bohner et al., "Oscillation of Third-Order Nonlinear Damped Delay Differential Equations," Applied Mathematics and Computation, vol. 278, pp. 21 - 32, Elsevier, Mar 2016.
The definitive version is available at https://doi.org/10.1016/j.amc.2015.12.036
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
