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Second Order Rational Difference Equations

Author(s):

R. Ranjitha , VIVEKANANDHA COLLEGE OF ARTS AND SCIENCES FOR WOMEN, NAMAKKAL.; S. K. Reka, VIVEKANANDHA COLLEGE OF ARTS AND SCIENCES FOR WOMEN, NAMAKKAL.; G. Pramila, VIVEKANANDHA COLLEGE OF ARTS AND SCIENCES FOR WOMEN, NAMAKKAL.; S. A. Vijaya Lakshmi, VIVEKANANDHA COLLEGE OF ARTS AND SCIENCES FOR WOMEN, NAMAKKAL.

Keywords:

Stable, Equilibrium Point, Local Asymptotically Stable, Semicycle, Global Asymptotically

Abstract

The point of our article is the global stability, oscillation, periodic nature and the boundedness of solution of the difference equation 〖 u〗_(n+1)=(Pu_(n-1))/(Q+Ru_n^2 ) , n = 0,1,2,.. Where P,Q and R are non-negative real numbers and the initial conditions u_(-1),u_0 are non-negative real numbers such that Q+Ru_n^(2 )> 0, n = 0,1,2,..

Other Details

Paper ID: IJSRDV5I120251
Published in: Volume : 5, Issue : 12
Publication Date: 01/03/2018
Page(s): 332-335

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