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http://hdl.handle.net/20.500.11889/1253
Title: | Dynamics of rational difference equation Xn+1=α+βxn / A+Bxn+Cxn−k using mathematical and computational approach | Authors: | Alawneh, Abed Elrazzaq | Keywords: | Differential dynamical systems - Mathematical models;Difference equations - Numerical solutions;Differential equations, Partial - Numerical solutions;Differential equations, Linear | Issue Date: | 2007 | Publisher: | Birzeit University | Abstract: | The main goal of this thesis is to investigate the periodic character, invariant intervals, oscillation and global stability and other new results of all positive solutions of the equation Xn+1=α+βxn / A+Bxn+Cxn−k, n= 0,1,2,... where the parameters α,β,A,B and C are non-negative real numbers with at least one parameter is non zero and the initial conditions x−k , x−k+1,...,x−1, x0 are non-negative real numbers with the solution is defined and k∈{1,2,3,...}. We give a detailed description of the semi-cycles of solutions, and determine conditions under which the equilibrium points are globally asymptotically stable. | URI: | http://hdl.handle.net/20.500.11889/1253 |
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