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Global asymptotical stability in a rational difference equation
Institution:Institute of Nonlinear Analysis and Department of Big Data Science,Zhejiang University of Science and Technology,Hangzhou 310023,China;Institute of Nonlinear Analysis and Department of Big Data Science,Zhejiang University of Science and Technology,Hangzhou 310023,China
Abstract:In this paper we prove a global attractivity result for the unique positive equilibrium point of a difference equation, which improves and generalizes some known ones in the existing literature. Especially, our results completely solve an open problem and some conjectures proposed in 1, 2, 3, 4].
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