Oscillation of Third-Order Nonlinear Damped Delay Differential Equations

Martin Bohner; Said R. Grace; Ilgin Sager; Ercan Tunc

doi:10.1016/j.amc.2015.12.036

Oscillation of Third-Order Nonlinear Damped Delay Differential Equations

Martin Bohner
, Said R. Grace
, Ilgin Sager
, Ercan Tunc

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Applied Mathematics and Computation
Volume	278
DOIs	https://doi.org/10.1016/j.amc.2015.12.036
State	Published - Mar 1 2016

Keywords

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

Disciplines

Mathematics
Statistics and Probability

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https://doi.org/10.1016/j.amc.2015.12.036

Cite this

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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.",

keywords = "Damping, Delay, Delay differential equations, Differential equations, Functional differential equations, Integral averaging technique, Nonlinear delay differential equation, Nonlinear equations, Oscillation, Second order linear differential equation, Third order",

author = "Martin Bohner and Grace, \{Said R.\} and Ilgin Sager and Ercan Tunc",

year = "2016",

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doi = "10.1016/j.amc.2015.12.036",

language = "American English",

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AU - Bohner, Martin

AU - Grace, Said R.

AU - Sager, Ilgin

AU - Tunc, Ercan

PY - 2016/3/1

Y1 - 2016/3/1

N2 - 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.

AB - 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.

KW - Damping

KW - Delay

KW - Delay differential equations

KW - Differential equations

KW - Functional differential equations

KW - Integral averaging technique

KW - Nonlinear delay differential equation

KW - Nonlinear equations

KW - Oscillation

KW - Second order linear differential equation

KW - Third order

UR - https://scholarsmine.mst.edu/math_stat_facwork/903

UR - https://doi.org/10.1016/j.amc.2015.12.036

U2 - 10.1016/j.amc.2015.12.036

DO - 10.1016/j.amc.2015.12.036

M3 - Article

VL - 278

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Oscillation of Third-Order Nonlinear Damped Delay Differential Equations

Abstract

Keywords

Disciplines

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