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Existence of Nonoscillatory Solutions for a Rational Difference Equation of Higher Order
Authors:Shaoxia Jin  Xianyi Li
Affiliation:Chinese-German Institute of Engineering, Zhejiang University of Science and Technology, Hangzhou, Zhejiang 310023, China; Department of Big Data Science, Zhejiang University of Science and Technology, Hangzhou, Zhejiang 310023, China
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}.
Keywords:Rational difference equation   Nonoscillatory solution   Appropriate equation   Inclusion theorem
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