A note on stability of impulsive scalar delay differential equations

Faria Teresa and Oliveira José J.: A note on stability of impulsive scalar delay differential equations. (2016)

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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.

Item Type: Journal
Other title: Honoring the career of Tibor Krisztin on the occasion of his sixtieth birthday
Publication full: Electronic journal of qualitative theory of differential equations : special edition
Date: 2016
Volume: 2
Number: 69
ISSN: 1417-3875
Number of Pages: 14
Language: English
DOI: 10.14232/ejqtde.2016.1.69
Uncontrolled Keywords: Differenciálegyenlet - késleltetett
Additional Information: Bibliogr.: 14. p. ; összefoglalás angol nyelven
Date Deposited: 2021. Nov. 11. 13:02
Last Modified: 2021. Nov. 12. 09:42
URI: http://acta.bibl.u-szeged.hu/id/eprint/73736

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