# Oscillation of Second Order Delay Dynamic Equations

@inproceedings{Agarwal2005OscillationOS, title={Oscillation of Second Order Delay Dynamic Equations}, author={Ravi P. Agarwal and Samir H. Saker and Martin J. Bohner}, year={2005} }

In this paper we establish some sufficient conditions for oscillation of second order delay dynamic equations on time scales. Our results not only unify the oscillation of second order delay differential and difference equations but also are new for q-difference equations and can be applied on any time scale. We illustrate our results with many examples.

## 155 Citations

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- 2010

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- 2010

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Oscillation Criteria of Second-Order Delay Dynamic Equations on Time Scales

- Computer Science
- 2007

By means of Riccati transformation technique, some new oscillation criteria for the second-order delay dynamic equations are established and the oscillation of the second order nonlinear delay differential equation and the second orders of the delay difference equation are unified.

Oscillation Criteria of Second-Order Delay Dynamic Equations on Time Scales

- Computer ScienceEighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007)
- 2007

By means of Riccati transformation technique, some new oscillation criteria for the second-order delay dynamic equations are established and the oscillation of the second order nonlinear delay differential equation and the second orders of the delay difference equation are unified.

Oscillation for Third-Order Nonlinear Delay Dynamic Equations on Time Scales

- Mathematics
- 2013

The oscillation for certain third-order nonlinear neutral delay dynamic equations on time scales is discussed in this article. By using the generalized Riccati transformation and the inequality…

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- Mathematics
- 2011

In this work, we use the generalized Riccati transformation and the inequality technique to establish some new oscillation criteria for the second-order nonlinear delay dynamic equation…

On the Oscillation of Second-Order Nonlinear Neutral Delay Dynamic Equations on Time Scales

- Mathematics
- 2016

Based on Riccati transformation and the inequality technique, we establish some new sufficient conditions for oscillation of the second-order neutral delay dynamic equations on time scales. Our…

On the Oscillation for Second-Order Half-Linear Neutral Delay Dynamic Equations on Time Scales

- Mathematics
- 2014

We discuss oscillation criteria for second-order half-linear neutral delay dynamic equations on time scales by using the generalized Riccati transformation and the inequality technique. Under certain…

Oscillation of second-order nonlinear delay dynamic equations on time scales

- Computer Science, MathematicsComput. Math. Appl.
- 2011

By using the generalized Riccati transformation and the inequality technique, we establish one new oscillation criterion for the second-order nonlinear delay dynamic equations on time scales. Our…

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