Variation formulas of solution for a controlled functional-differential equation considering delay perturbation

Tadumadze, Tamaz; Nachaoui, Abdeljalil

dc.contributor.author	Tadumadze, Tamaz	en_US
dc.contributor.author	Nachaoui, Abdeljalil	en_US
dc.date.accessioned	2020-09-18T08:03:28Z
dc.date.available	2020-09-18T08:03:28Z
dc.date.issued	2011-03-05
dc.identifier.citation	Tadumadze, T. & Nachaoui, A. (2011). Variation formulas of solution for a controlled functional-differential equation considering delay perturbation. TWMS Journal of Applied and Engineering Mathematics, 1(1), 58-68.	en_US
dc.identifier.issn	2146-1147
dc.identifier.issn	2587-1013
dc.identifier.uri	https://hdl.handle.net/11729/2418
dc.identifier.uri	http://jaem.isikun.edu.tr/web/index.php/archive/87-vol1no1/170
dc.description.abstract	Variation formulas of solution are proved for a controlled non-linear functionaldifferential equation with constant delay and the continuous initial condition. In this paper, the essential novelty is the effect of delay perturbation in the variation formulas.The continuity of the initial condition means that the values of the initial function and the trajectory always coincide at the initial moment.	en_US
dc.description.sponsorship	The work was supported by the Sh.Rustaveli National Science Foundation (Georgia), Grant No.GNSF/ST08/3-399 and Centre National de la Recherche Scientifque CNRS (France), PICS-4962.	en_US
dc.language.iso	eng	en_US
dc.publisher	Işık University Press	en_US
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.subject	Controlled delay functional-differential equation	en_US
dc.subject	Variation formula of solution	en_US
dc.subject	Effect of delay perturbation	en_US
dc.subject	Continuous initial condition	en_US
dc.title	Variation formulas of solution for a controlled functional-differential equation considering delay perturbation	en_US
dc.type	article	en_US
dc.description.version	Publisher's Version	en_US
dc.relation.journal	TWMS Journal of Applied and Engineering Mathematics	en_US
dc.identifier.volume	1
dc.identifier.issue	1
dc.identifier.startpage	58
dc.identifier.endpage	68
dc.peerreviewed	Yes	en_US
dc.publicationstatus	Published	en_US
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı	en_US