BEHAVIOR OF SOLUTIONS TO A FUZZY NONLINEAR DIFFERENCE EQUATION

In this paper, we study the existence, asymptotic behavior of the positive solutions of a fuzzy nonlinear difference equation xn+1 = Axn + xn 1 B + xn 1 ; n = 0; 1; ; where (xn) is a sequence of positive fuzzy number, A;B are positive fuzzy numbers and the initial conditions x 1;x0 are positive fuzzy numbers.

[1]  G. Papaschinopoulos,et al.  Boundedness and asymptotic behavior of the solutions of a fuzzy difference equation , 2003, Fuzzy Sets Syst..

[2]  Claude Froeschlé,et al.  Analysis and modelling of discrete dynamical systems , 1998 .

[3]  C. J. Schinas,et al.  On a System of Two Nonlinear Difference Equations , 1998 .

[4]  Mustafa R. S. Kulenovic,et al.  A rational difference equation , 2001 .

[5]  C. Schinas,et al.  Persistence, Oscillatory Behavior, and Periodicity of the Solutions of a System of two Nonlinear Difference Equations , 1998 .

[6]  Alaa E. Hamza.  On the recursive sequence x n + 1 = a + x n - 1 x n , 2006 .

[7]  G. Ladas,et al.  Necessary and sufficient conditions for the boundedness of , 1997 .

[8]  A. de Korvin,et al.  Analysis by fuzzy difference equations of a model of CO2 level in the blood , 1999 .

[9]  Wan-Tong Li,et al.  Dynamics of a Rational Difference Equation , 2005, Appl. Math. Comput..

[10]  V. Kocić,et al.  Global Behavior of Nonlinear Difference Equations of Higher Order with Applications , 1993 .

[11]  Elias Deeba,et al.  A fuzzy difference equation with an application , 1996 .

[12]  Garyfalos Papaschinopoulos,et al.  On the fuzzy difference equation xn+1 = A+B/xn , 2002, Soft Comput..

[13]  Garyfalos Papaschinopoulos,et al.  On the fuzzy difference equation xn+1=A+xn/xn-m , 2002, Fuzzy Sets Syst..

[14]  C. J. Schinas,et al.  On the difference equation , 2000 .

[15]  Congxin Wu,et al.  Embedding problem of noncompact fuzzy number space E∼ (I) , 1999, Fuzzy Sets Syst..

[16]  GLOBAL ATTRACTIVITY IN A NONLINEAR DIFFERENCE EQUATION , 2007 .

[17]  S. Abbasbandy,et al.  A METHOD FOR SOLVING FUZZY LINEAR SYSTEMS , 2005 .

[18]  Garyfalos Papaschinopoulos,et al.  A fuzzy difference equation of a rational form , 2005 .

[19]  G. Ladas,et al.  ON THE RECURSIVE SEQUENCE XN+1 = A/XN+ 1/XN-2 , 1998 .