Criteria for the existence of positive solutions to delayed functional differential equations

Diblík Josef: Criteria for the existence of positive solutions to delayed functional differential equations. (2016)

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Abstract

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.

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: 68
ISSN: 1417-3875
Number of Pages: 15
Language: English
DOI: 10.14232/ejqtde.2016.1.68
Uncontrolled Keywords: Differenciálegyenlet - késleltetett
Additional Information: Bibliogr.: p. 13-15. ; összefoglalás angol nyelven
Date Deposited: 2021. Nov. 11. 12:55
Last Modified: 2021. Nov. 12. 09:42
URI: http://acta.bibl.u-szeged.hu/id/eprint/73735

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