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http://hdl.handle.net/20.500.11889/5381
Title: | On the dynamics of a rational difference equation | Authors: | Saleh, Mohammad | Keywords: | Difference equations;Integro-differential equations - Asymptotic theory;Equilibrium point;Semi-cycles | Issue Date: | 2017 | Abstract: | In this paper, we will investigate the dynamics of a nonlinear rational difference equation of a higher order. Our concentration is on invariant intervals, periodic character, the character of semi-cycles and global asymptotic stability of all positive solutions of xn+1 = α + βxn + γ xn−k Bxn + Cxn−k , n = 0, 1, . . . It is worth to mention that our results solve partially some of the open problems proposed by Kulenvic and Ladas in their monographs [17], [18]. | URI: | http://hdl.handle.net/20.500.11889/5381 |
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