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

Advances in Difference Equations volume 2006, Article number: 065626 (2006) Cite this article

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 and Affiliations

  1. Department of Mathematics, Atilim University, Incek-Ankara, 06836, Turkey

    Y Şahİner

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  1. Y Şahİner
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Correspondence to Y Şahİner.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Şahİner, Y. Oscillation of second-order neutral delay and mixed-type dynamic equations on time scales. Adv Differ Equ 2006, 065626 (2006). https://doi.org/10.1155/ADE/2006/65626

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

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation