Skip to search formSkip to main content
You are currently offline. Some features of the site may not work correctly.

Rational difference equation

A rational difference equation is a nonlinear difference equation of the form where the initial conditions are such that the denominator never… Expand
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
This paper deals with the solutions, stability character, and asymptotic behavior of the difference equation where… Expand
  • figure 1
  • figure 2
Highly Cited
2009
Highly Cited
2009
We describe all the solutions of a rational difference equation from Putnam's mathematical competition, which are eventually… Expand
2009
2009
In this paper, we consider the (k+1)-order rational difference equation yn+1=p+qyn+ryn−k1+yn−k,n=0,1,2,… where k∈{1,2,3,…}, and… Expand
2009
2009
Motivated by ideas from papers: C. Cinar, I. Yalcinkaya, S. Stevic, A note on global asymptotic stability of a family of rational… Expand
Highly Cited
2007
Highly Cited
2007
  • S. Stevic
  • Appl. Math. Lett.
  • 2007
  • Corpus ID: 5416037
Abstract We prove that the Putnam difference equation x n + 1 = x n + x n − 1 + x n − 2 x n − 3 x n x n − 1 + x n − 2 + x n − 3… Expand
2007
2007
Abstract This paper studies global asymptotic stability for positive solutions to the equation y n = y n − k y n − l y n − m + y… Expand
  • table 1
2006
2006
We investigate in this paper the global behavior of the following difference equation: , n = 0,1,..., under appropriate… Expand
Highly Cited
2006
Highly Cited
2006
Abstract In this note, we investigate the solution of the difference equation x n + 1 = x n - 1 a - x n - 1 x n , n = 0 , 1 , 2… Expand
2006
2006
Abstract In this paper, we will investigate a nonlinear rational difference equation of higher order. Our concentration is on… Expand
  • figure 1
  • figure 2
  • figure 3
  • figure 4
2005
2005
In this paper, we investigate the periodic character, invariant intervals, oscillation and global stability of all positive… Expand