A note on stability of impulsive scalar delay differential equations

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 stabilit...

Full description

Saved in:
Bibliographic Details
Main Authors: Faria Teresa
Oliveira José J.
Format: Serial
Published: 2016
Series:Electronic journal of qualitative theory of differential equations : special edition 2 No. 69
Kulcsszavak:Differenciálegyenlet - késleltetett
doi:10.14232/ejqtde.2016.1.69

Online Access:http://acta.bibl.u-szeged.hu/73736
Description
Summary: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.
Physical Description:14
ISSN:1417-3875