Global Asymptotic Stability for Linear Fractional Difference Equation
Keyword(s):
Consider the difference equation xn+1=(α+∑i=0kaixn-i)/(β+∑i=0kbixn-i), n=0,1,…, where all parameters α,β,ai,bi, i=0,1,…,k, and the initial conditions xi, i∈{-k,…,0} are nonnegative real numbers. We investigate the asymptotic behavior of the solutions of the considered equation. We give easy-to-check conditions for the global stability and global asymptotic stability of the zero or positive equilibrium of this equation.
2010 ◽
Vol 2010
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pp. 1-10
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2014 ◽
Vol 2014
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pp. 1-13
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2008 ◽
Vol 2008
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pp. 1-15
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2010 ◽
Vol 2010
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pp. 1-17
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