Article
Oscillation of Second-Order Nonlinear Impulsive Dynamic Equations on Time Scales
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Abstract
In this paper, we use Riccati transformation technique and the impulsive inequality to establish some new oscillation criteria for the second-order nonlinear impulsive dynamic equation on a time scale T. Our results generalize and extend some pervious results [14,15,16,18,20]. Finally, we give some examples to show that impulses play a dominant part in the oscillations of dynamic equations on time scales and to illustrate our main results.
Keywords
Oscillation, time scales, impulsive dynamic equations
Citation
Agwa, H. A., Khodier, A. M. M., & Atteya, H. M. (2017). Oscillation of second-order nonlinear impulsive dynamic equations on time scales. Journal of Analysis & Number Theory, 5(2), 147–154. https://doi.org/10.18576/jant/050209
H. A. Agwa, A. M. M. Khodier and H. M. Atteya, “Oscillation of second-order nonlinear impulsive dynamic equations on time scales,” Journal of Analysis & Number Theory, vol. 5, no. 2, pp. 147–154, 2017, doi: 10.18576/jant/050209.
Agwa HA, Khodier AMM, Atteya HM. Oscillation of second-order nonlinear impulsive dynamic equations on time scales. Journal of Analysis & Number Theory. 2017;5(2):147–154. doi:10.18576/jant/050209.
Agwa, H. A., Khodier, A. M. M. and Atteya, H. M. (2017), ‘Oscillation of second-order nonlinear impulsive dynamic equations on time scales’, Journal of Analysis & Number Theory, 5(2), pp. 147–154. Available at: https://doi.org/10.18576/jant/050209.
Agwa, H. A., et al. “Oscillation of Second-order Nonlinear Impulsive Dynamic Equations on Time Scales.” Journal of Analysis & Number Theory, vol. 5, no. 2, 2017, pp. 147–154. https://doi.org/10.18576/jant/050209.
Agwa, H. A., Ahmed M. M. Khodier, and Heba M. Atteya. “Oscillation of Second-order Nonlinear Impulsive Dynamic Equations on Time Scales.” Journal of Analysis & Number Theory 5, no. 2 (2017): 147–154. https://doi.org/10.18576/jant/050209.
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Published by: Engineering Journals


