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...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2016
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| Sorozat: | 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 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 14 |
| ISSN: | 1417-3875 |