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A backwards antifunnel.

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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 :



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