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

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