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ADDENDUM TO

ASYMPTOTIC STABILITY IN DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY

T.A. Burton Alfredo Somolinos

Northwest Research Institute Department of Mathematics

732 Caroline Street Mercy College

Port Angeles, WA 98362 Dobbs Ferry, New York 10522

This addendum concerns the paper of the above title found in EJQTDE/1999/199913.

Throughout that paper was the tacit assumption that the coefficient functionsh₍t_),b₍t_),

and C₍t_{) are all continuous on their respective domains. Every result, as well as the}

existence result stated at the end of the first section, depended on those functions being

continuous. A search of the paper indicates that we failed to state this. We regret any

inconvenience which this may have caused any reader.

1991Mathematics Subject Classification. 34K20.

Key words and phrases. Liapunov Stability, Functional Equations, Unbounded Delay, Volterra Equations.