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

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  • Candan, T.

Abstract

In this article, we shall consider second order nonlinear neutral differential equation of certain type. Some oscillation criteria are established for second-order neutral differential equation of the form [r(t)|z′(t)|γ−1z′(t)]′+∫cdf(t,x(σ(t,ξ)))dξ=0,where z(t)=x(t)+∫abp(t,ξ)x(τ(t,ξ))dξ. An example is given to show the applicability of our results.

Suggested Citation

  • Candan, T., 2015. "Oscillatory behavior of second order nonlinear neutral differential equations with distributed deviating arguments," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 199-203.
    • Handle: RePEc:eee:apmaco:v:262:y:2015:i:c:p:199-203
    DOI: 10.1016/j.amc.2015.03.134
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    Cited by:

    1. Irena Jadlovská, 2021. "New Criteria for Sharp Oscillation of Second-Order Neutral Delay Differential Equations," Mathematics, MDPI, vol. 9(17), pages 1-23, August.
    2. Osama Moaaz & Rami Ahmad El-Nabulsi & Waad Muhsin & Omar Bazighifan, 2020. "Improved Oscillation Criteria for 2nd-Order Neutral Differential Equations with Distributed Deviating Arguments," Mathematics, MDPI, vol. 8(5), pages 1-12, May.

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