Article
Oscillation of Third-Order Nonlinear Damped Delay Differential Equations
Applied Mathematics and Computation
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
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2016 Elsevier, All rights reserved.
Publication Date
3-1-2016
Publication Date
01 Mar 2016
Disciplines
Citation Information
Martin Bohner, Said R. Grace, Ilgin Sager and Ercan Tunc. "Oscillation of Third-Order Nonlinear Damped Delay Differential Equations" Applied Mathematics and Computation Vol. 278 (2016) p. 21 - 32 ISSN: 0096-3003 Available at: http://works.bepress.com/martin-bohner/177/