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Abstract and Applied Analysis
Volume 2011 (2011), Article ID 857860, 15 pages
doi:10.1155/2011/857860
Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments
Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, Slovakia
Received 14 December 2010; Accepted 20 January 2011
Academic Editor: Josef Diblík
Copyright © 2011 B. Baculíková. 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.
Abstract
The aim of this paper is to offer sufficient conditions for property (B) and/or the oscillation of the third-order nonlinear functional differential equation with mixed arguments . Both cases and are considered. We deduce properties of the studied equations via new comparison theorems. The results obtained essentially improve and complement earlier ones.