On the Periodic Character of Some Difference Equations |
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| Authors: | HD Voulov |
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| Institution: | Department of Mathematics , Southern Illinois University Carbondale , Carbondale , IL , 62901-4408 , USA |
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| Abstract: | We consider positive solutions of the following difference equation x n =max A x n m k , B x n m m , n =0,1,…, where A , B are any positive real numbers and k , m are any positive integers. We prove that every positive solution is eventually periodic and determine the period in terms of the parameters A , B , k , and m . |
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| Keywords: | Periodic Solution Nonlinear Difference Equation Positive Solution |
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