Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.11889/4042
Title: Dynamics of a higher order rational difference equation
Authors: Saleh, Mohammad
Atawna, S.
Keywords: Difference equations - Numerical solutions
Issue Date: Oct-2006
Abstract: Abstract. In this paper, we will investigate the nonlinear rational di§erence equation Our concentration is on invariant intervals, periodic character, the character of semicycles and global asymptotic stability of all positive solutions of equation(1). xn+1 = xn + xnk Bxn + Cxnk ; n = 0; 1; ::: It is worth to mention that our results solve the open problem proposed by Kulenvic and L Copy DYNAMICS OF A k thorder RATIONAL DIFFERENCE EQUATION M. SALEH, S. ABUBAHAA Abstract. In this paper, we will investigate the nonlinear rational di§erence equation Our concentration is on invariant intervals, periodic character, the character of semicycles and global asymptotic stability of all positive solutions of equation(1). xn+1 = xn + xnk Bxn + Cxnk ; n = 0; 1; ::: It is worth to mention that our results solve the open problem proposed by Kulenvic and Ladas in their monograph [Dynamics of Second Order Rational Di§erence Equations: with Open Problems and Conjectures
URI: http://hdl.handle.net/20.500.11889/4042
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