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Tatra Mountains Mathematical Publications

The Journal of Slovak Academy of Sciences

Editor-in-Chief: Riecan, Beloslav / Duchon, Miloslav

3 Issues per year

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Volume 48, Issue 1 (Dec 2011)


Oscillation theorems for second order advanced neutral differential equations

Jozef Džurina
  • Corresponding author
  • Department of Mathematics Faculty of Electrical Engineering and Informatics Technical University of Koˇsice Letn´a 9 SK–042-00 Koˇsice SLOVAKIA
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Published Online: 2012-11-13 | DOI: https://doi.org/10.2478/v10127-011-0006-4


The aim of this paper is to study the oscillation of the second order advanced neutral differential equations . (E)

Obtained results are based on the new comparison theorems that enable us to reduce problem of the oscillation of the second order equation to the the oscillation of the first order equations. Obtained comparison principles essentially simplify the examination of the studied equations.

Keywords: second-order neutral differential equations; comparison theorem; oscillation; nonoscillation.

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About the article

Published Online: 2012-11-13

Published in Print: 2011-12-01

Citation Information: Tatra Mountains Mathematical Publications, ISSN (Print) 1210-3195, DOI: https://doi.org/10.2478/v10127-011-0006-4.

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