Differentiability of solutions with respect to the delay function in functional differential equations

Hartung Ferenc: Differentiability of solutions with respect to the delay function in functional differential equations. (2016)

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Abstract

In this paper we consider a class of functional differential equations with time-dependent delay. We show continuous differentiability of the solution with respect to the time delay function for each fixed time value assuming natural conditions on the delay function. As an application of the differentiability result, we give a numerical study to estimate the time delay function using the quasilinearization method.

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: 73
ISSN: 1417-3875
Number of Pages: 16
Language: English
DOI: 10.14232/ejqtde.2016.1.73
Uncontrolled Keywords: Differenciálegyenlet - késleltetett
Additional Information: Bibliogr.: 16. p. ; összefoglalás angol nyelven
Date Deposited: 2021. Nov. 11. 13:38
Last Modified: 2021. Nov. 12. 09:42
URI: http://acta.bibl.u-szeged.hu/id/eprint/73740

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