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Oscillation of Second-Order Nonlinear Mixed Neutral Dynamic Equations with Non Positive Neutral Term on Time Scales

Author

Listed:
  • H. A. Agwa

    (Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt)

  • Ahmed M. M. Khodier

    (Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt)

  • Heba M. Arafa

    (Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt)

Abstract

In this work, we establish some new oscillation results for the second-order nonlinear mixed neutral dynamic equation where. Our results not only complement and generalize some existing results in [4], but also can be applied to some oscillation problems that do not covered before, we also give some examples to illustrate our main results.

Suggested Citation

  • H. A. Agwa & Ahmed M. M. Khodier & Heba M. Arafa, 2017. "Oscillation of Second-Order Nonlinear Mixed Neutral Dynamic Equations with Non Positive Neutral Term on Time Scales," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 3(2), pages 8-20, 02-2017.
  • Handle: RePEc:arp:ajoams:2017:p:8-20
    DOI: arpgweb.com/?ic=journal&journal=17&info=aims
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    References listed on IDEAS

    as
    1. Tongxing Li & Yuriy V. Rogovchenko, 2015. "Oscillation of second-order neutral differential equations," Mathematische Nachrichten, Wiley Blackwell, vol. 288(10), pages 1150-1162, July.
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