Criteria for the existence of positive solutions to delayed functional differential equations
The paper is concerned with the large time behavior of solutions to functional delayed differential equations y˙(t) = f(t, yt) where f : Ωn 7→ Rn is a continuous map satisfying a local Lipschitz condition with respect to the second argument and Ωn is an open subset in R × Cn, Cn := Cn([−r, 0], Rn ),...
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. 68 |
| Kulcsszavak: | Differenciálegyenlet - késleltetett |
| doi: | 10.14232/ejqtde.2016.1.68 |
| Online Access: | http://acta.bibl.u-szeged.hu/73735 |
| Tartalmi kivonat: | The paper is concerned with the large time behavior of solutions to functional delayed differential equations y˙(t) = f(t, yt) where f : Ωn 7→ Rn is a continuous map satisfying a local Lipschitz condition with respect to the second argument and Ωn is an open subset in R × Cn, Cn := Cn([−r, 0], Rn ), r > 0. Criteria on the existence of positive solutions (different from the well-known published results) and their estimates from above are derived. The results are illustrated by examples. |
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| Terjedelem/Fizikai jellemzők: | 15 |
| ISSN: | 1417-3875 |