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Oscillation of Second-Order Nonlinear Delay Dynamic Equations with Damping on Time Scales

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  • H. A. Agwa
  • Ahmed M. M. Khodier
  • Heba A. Hassan

Abstract

We use the generalized Riccati transformation and the inequality technique to establish some new oscillation criteria for the second-order nonlinear delay dynamic equation with damping on a time scale , , where , , and are positive right dense continuous (rd-continuous) functions on . Our results improve and extend some results established by Zhang et al., 2011. Also, our results unify the oscillation of the second-order nonlinear delay differential equation with damping and the second-order nonlinear delay difference equation with damping. Finally, we give some examples to illustrate our main results.

Suggested Citation

  • H. A. Agwa & Ahmed M. M. Khodier & Heba A. Hassan, 2014. "Oscillation of Second-Order Nonlinear Delay Dynamic Equations with Damping on Time Scales," International Journal of Differential Equations, Hindawi, vol. 2014, pages 1-10, June.
  • Handle: RePEc:hin:jnijde:594376
    DOI: 10.1155/2014/594376
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