Oscillation Criteria of Second Order Nonlinear Impulsive Neutral Differential Equations

R. Sakthivel¹

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.222-227, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.222227

Online published on Dec 31, 2018

Copyright © R. Sakthivel . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, we study the oscillatory behavior of second order non-linear impulsive neutral differential equations. By using the generalized Ricatti transformation and the integral averaging technique, we obtained some new oscillation criteria. Examples are given to show how impulse perturbations greatly affect the oscillation behavior of the solutions.

Key-Words / Index Term :
Oscillation, Second Order, Nonlinear, Impulsive, Neutral Differential Equations.

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