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| Dynamics of a Rational Difference Equation |
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Citation： |
Elmetwally M. ELABBASY,Elsayed M. ELSAYED.Dynamics of a Rational Difference Equation[J].Chinese Annals of Mathematics B,2009,30(2):187~198 |
| Page view： 1991
Net amount： 1111 |
Authors： |
Elmetwally M. ELABBASY; Elsayed M. ELSAYED; |
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| Abstract： |
The authors investigate the global behavior of the solutions of the
difference equation
\[x_{n+1}=\frac{ax_{n-l}x_{n-k}}{bx_{n-p}+cx_{n-q}},\quad n=0,1,\cdots,\]
where the initial conditions $x_{-r},x_{-r+1},x_{-r+2},\cdots,x_0$
are arbitrary positive real numbers, $r=\max\{l,k,p,q\}$ is a
nonnegative integer and $a,b,c$ are positive constants. Some special
cases of this equation are also studied in this paper. |
Keywords： |
Stability, Periodic solutions, Difference equations |
Classification： |
39A10 |
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