Oscillation of Third-Order Nonlinear Damped Delay Differential Equations
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.
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
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)
Article - Journal
© 2016 Elsevier, All rights reserved.
01 Mar 2016