Article contents
A star-shaped condition for stability of linear retarded functional differential equations†
Published online by Cambridge University Press: 14 November 2011
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
References
- 5
- Cited by