Dynamics of a Higher Order Rational Difference Equation

Yi Yang; Fei Bao Lv

doi:10.4028/www.scientific.net/AMR.216.50

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 216Dynamics of a Higher Order Rational Difference...

Dynamics of a Higher Order Rational Difference Equation

Abstract:

In this paper, we address the difference equation xn=px_n-s+x_n-t/q+x_n-t n=0,1,... with positive initial conditions where s, t are distinct nonnegative integers, p, q > 0. Our results not only include some previously known results, but apply to some difference equations that have not been investigated so far.

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Periodical:

Advanced Materials Research (Volume 216)

Pages:

50-55

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.216.50

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Online since:

March 2011

Authors:

Yi Yang, Fei Bao Lv

Keywords:

Difference Equation, Dynamic, Equilibrium, Global Asymptotic Stability

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