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

H. A. Agwa, Ahmed M. M. Khodier and Heba A. Hassan

International Journal of Differential Equations, 2014, vol. 2014, 1-10

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:594376

DOI: 10.1155/2014/594376

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