Open Access

Comparison Theorems for the Third-Order Delay Trinomial Differential Equations

Advances in Difference Equations20102010:160761

https://doi.org/10.1155/2010/160761

Received: 11 August 2010

Accepted: 1 November 2010

Published: 2 November 2010

Abstract

The objective of this paper is to study the asymptotic properties of third-order delay trinomial differential equation . Employing new comparison theorems, we can deduce the oscillatory and asymptotic behavior of the above-mentioned equation from the oscillation of a couple of the first-order differential equations. Obtained comparison principles essentially simplify the examination of the studied equations.

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Authors’ Affiliations

(1)
Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Košice

Copyright

© B. Baculíková and J. Džurina. 2010

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.