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Open Access Research

Oscillatory behavior of second-order nonlinear neutral differential equations with distributed deviating arguments

Tongxing Li1*, Blanka Baculíková2 and Jozef Džurina2

Author Affiliations

1 Qingdao Technological University, Feixian, Shandong, 273400, P.R. China

2 Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, Košice, 042 00, Slovakia

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Boundary Value Problems 2014, 2014:68  doi:10.1186/1687-2770-2014-68


Dedicated to Professor Ivan Kiguradze

Published: 24 March 2014

Abstract

We study oscillatory properties of a class of second-order nonlinear neutral functional differential equations with distributed deviating arguments. On the basis of less restrictive assumptions imposed on the neutral coefficient, some new criteria are presented. Three examples are provided to illustrate these results.

MSC: 34C10, 34K11.

Keywords:
oscillation; neutral differential equation; second-order equation; distributed deviating argument