We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
A note on stability of impulsive scalar delay differential equations.
- Authors
Faria, Teresa; Oliveira, José J.
- Abstract
For a class of scalar delay differential equations with impulses and satisfying a Yorke-type condition, criteria for the global asymptotic stability of the zero solution are established. These equations possess a non-delayed feedback term, which will be used to refine the general results on stability presented in recent literature. The usual requirements on the impulses are also relaxed. As an application, sufficient conditions for the global attractivity of a periodic solution for an impulsive periodic model are given.
- Subjects
NUMERICAL solutions to delay differential equations; IMPULSIVE differential equations; SCALAR field theory; ASYMPTOTIC distribution; STABILITY theory
- Publication
Electronic Journal of Qualitative Theory of Differential Equations, 2016, Issue 1-122, p1
- ISSN
1417-3875
- Publication type
Article
- DOI
10.14232/ejqtde.2016.1.69