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As
equation (16) has a unique solution
lying in a narrowing
backwards antifunnel between the lower fence
and
the upper fence
.

Since all the functions are positive for negative t, the inequality
(17) can be integrated from t to 0.
Setting
, we find

which gives

Exponentiating now gives

Therefore
not only remains bounded, it tends to 0 exponentially
as
:



Contents
Next: A note on
Up: The Riccati Transformation
Previous: The Riccati Transformation