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Fixed points and stability of a nonconvolution equation
Author(s):
T.
A.
Burton
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3679-3687.
MSC (2000):
Primary 34K20, 47H10
Posted:
May 12, 2004
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Abstract:
In this note we consider an equation of the form
and give conditions on  and  to ensure that the zero solution is asymptotically stable. When applied to the classical case of  , these conditions do not require that  , nor do they involve the sign of  or the sign of any derivative of  .
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Additional Information:
T.
A.
Burton
Affiliation:
Northwest Research Institute, 732 Caroline St., Port Angeles, Washington 98362
Email:
taburton@olypen.com
DOI:
10.1090/S0002-9939-04-07497-0
PII:
S 0002-9939(04)07497-0
Keywords:
Delay equations,
fixed points,
stability
Received by editor(s):
July 8, 2003
Received by editor(s) in revised form:
September 3, 2003
Posted:
May 12, 2004
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2004,
American Mathematical Society
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