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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access February 16, 2015

New interval oscillation criteria for second-order functional differential equations with nonlinear damping

  • Süleyman Öǧrekçi
From the journal Open Mathematics

Abstract

This paper concerns the oscillation problem of second-order nonlinear damped ODE with functional terms.We give some new interval oscillation criteria which is not only based on constructing a lower solution of a Riccati type equation but also based on constructing an upper solution for corresponding Riccati type equation. We use a recently developed pointwise comparison principle between those lower and upper solutions to obtain our results. Some illustrative examples are also provided to demonstrate our results.

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Received: 2014-8-13
Accepted: 2015-1-22
Published Online: 2015-2-16

©2015 Süleyman Öǧrekçi

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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