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Oscillation of third-order nonlinear damped delay differential equations

Martin Bohner, Said R. Grace, Ilgin Sağer and Ercan Tunç

Applied Mathematics and Computation, 2016, vol. 278, issue C, 21-32

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.

Keywords: Oscillation; Delay; Third order; Functional differential equation (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:278:y:2016:i:c:p:21-32

DOI: 10.1016/j.amc.2015.12.036

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