Open Access

Oscillation of second-order neutral delay and mixed-type dynamic equations on time scales

Advances in Difference Equations20062006:065626

https://doi.org/10.1155/ADE/2006/65626

Received: 31 January 2006

Accepted: 15 May 2006

Published: 9 July 2006

Abstract

We consider the equation (r(t)(yΔ(t)) γ )Δ + f(t, x(δ(t))) = 0, , where y(t) = x(t) + p(t)x(τ(t)) and γ is a quotient of positive odd integers. We present some sufficient conditions for neutral delay and mixed-type dynamic equations to be oscillatory, depending on deviating arguments τ(t) and δ(t), .

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Authors’ Affiliations

(1)
Department of Mathematics, Atilim University

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Copyright

© Y. Şahİner 2006

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.