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Existence of Nonoscillatory Solutions for a Rational Difference Equation of Higher Order
  
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KeyWord:Rational difference equation; Nonoscillatory solution; Appropriate equation; Inclusion theorem
Author NameAffiliation
Shaoxia Jin Chinese-German Institute of Engineering, Zhejiang University of Science and Technology, Hangzhou, Zhejiang 310023, China 
Xianyi Li Department of Big Data Science, Zhejiang University of Science and Technology, Hangzhou, Zhejiang 310023, China 
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Abstract:
      In this paper, we investigate a rational difference equation of higher order for the existence of nonoscillatory solutions. To prove our main results, we use an inclusion theorem stated and proved in \cite{L1}. In this way, we give an answer of an open problem formulated in \cite{FPB}.