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Oscillation results for second-order mixed neutral differential equations with distributed deviating arguments

  • Chenghui Zhang EMAIL logo , Blanka Baculíková , Jozef Džurina and Tongxing Li
Published/Copyright: August 25, 2016
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 66 Issue 3

Abstract

We obtain some oscillation criteria for all solutions to a second-order mixed neutral differential equation with distributed deviating arguments. The results presented improve those reported in the literature.

MSC 2010: Primary 34C10; 34K11
keywords: oscillatory behavior; second-order neutral differential equation; mixed argument; distributed deviating argument

This research is supported by the National Key Basic Research Program of P. R. China (2013CB035604) and the NNSF of P. R. China (Grant Nos. 61034007, 51277116, 51107069)

(Communicated by Michal Fečkan)

Acknowledgement

The authors would like to thank Professor Michal Fečkan and the anonymous referees for their thoughtful review of this manuscript and their insightful comments used to improve the quality of this paper.

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Received: 2013-3-20
Accepted: 2013-11-29
Published Online: 2016-8-25
Published in Print: 2016-6-1

© 2016 Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2015-0165
Keywords for this article
oscillatory behavior; second-order neutral differential equation; mixed argument; distributed deviating argument

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