A star-shaped condition for stability of linear retarded functional differential equations†
- 1 January 1979
- journal article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 83 (3-4) , 189-198
- https://doi.org/10.1017/s0308210500011501
Abstract
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 exampleThis publication has 3 references indexed in Scilit:
- Theory of Functional Differential EquationsPublished by Springer Nature ,1977
- Roots of a Transcendental Equation Associated with a System of Differential-Difference EquationsSIAM Journal on Applied Mathematics, 1969
- Roots of the Transcendental Equation Associated with a Certain Difference-Differential EquationJournal of the London Mathematical Society, 1950