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A star-shaped condition for stability of linear retarded functional differential equations†

Published online by Cambridge University Press:  14 November 2011

Richard Silkowski
Richard Silkowski
Affiliation:
IBM Corporation, Poughkeepsie, New York 12602, U.S.A.
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Synopsis

Sufficient conditions are developed for asymptotic stability of the autonomous linear functional differential equation of retarded type. If the asymptotic stability of

implies the asymptotic stability of

then these conditions are also necessary. Necessary and sufficient conditions are developed for the largest cone in the region of stability. These results are illustrated with the example

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 83 , Issue 3-4 , 1979 , pp. 189 - 198
Copyright
Copyright © Royal Society of Edinburgh 1979

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References

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