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Interval Oscillation Criteria for Nonlinear Neutral Impulsive Differential Equations
  
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KeyWord:Interval oscillation theory, neutral differential equation, impulsive
Author NameAffiliation
Limei Feng Department of Mathematics, Shandong University, Jinan, Shandong 250100, China 
Fanjun Li School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China 
Zhenlai Han School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China 
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Abstract:
      In this paper, we study the interval oscillation for nonlinear neutral impulsive differential equations. Sufficient condition for the interval oscillation of the equations is obtained by using Riccati transformation and estimating the ratio of unknown functions $y(t-\sigma(t))$ and $y(t)$. Some known results are generalized and improved. An example is given to illustrate the results.