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[Q] convergence of a nonlinear recursion
Posted:
Dec 13, 1996 12:48 PM


Hi Netters,
During my research I come up with a recurrence I don't know how to tackle. Here is the recurrence, using TeXlike notations :
\alpha u^{n+1} + \beta u^{n} + \gamma u^{n} u^{n+1} + \delta = 0,
where \alpha > 0 and \delta goes faster to zero than u^{n} possibly does.
The question is :
Are there any conditions on \alpha, \beta and \gamma which ensure than u^{n} tends to zero whatever u^{0} is ?
Another related question is : Have you got any reference to books dealing with nonlinear recursions ?
Thanks for you help, Fabrice.
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