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A Study on Oscillatory and Asymptotic Nature of Impulsive Neutral Differential Equations of Order Three
  
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KeyWord:Neutral differential equations; Impulsive conditions; Oscillation criteria; Asymptotic behavior
Author NameAffiliation
Abdur Raheem Department of Mathematics, Aligarh Muslim University, Aligarh--202002, India 
Asma Afreen Department of Mathematics, Aligarh Muslim University, Aligarh--202002, India 
Areefa Khatoon Department of Mathematics, Aligarh Muslim University, Aligarh--202002, India 
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Abstract:
      In this paper, we consider a class of third-order neutral impulsive differential equations. An equivalent class of neutral differential equations is obtained by using a suitable substitution. Some new oscillation results are proved. Moreover, we discuss the asymptotic behavior of the solution. The results presented here are illustrated via examples.