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

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Published Jan 24, 2019

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Heba M. Atteya
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
H. A. Agwa
Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt

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 with damping term
equation
 
on a time scale T. Our results generalize and extend some pervious results [12, 14, 15, 16, 17] and can be applied to some oscillation problems that not discussed before. Finally, we give some examples to illustrate our main results.

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How to Cite
Atteya, H., Khodier, A., & Agwa, H. (2019). Oscillation of Second-Order Nonlinear Impulsive Dynamic Equations with Damping Term on Time Scales. Acta Mathematica Universitatis Comenianae, 88(1), 23-38. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/617/644
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Vol 88 No 1 (2019): AMUC
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Articles