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Topic: [Q] convergence of a nonlinear recursion
Replies: 0

 Fabrice VEERSE Posts: 4 Registered: 12/15/04
[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 TeX-like 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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